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Finding the Fourth Proportional to 310,571.70, 465,857.55 and 275,142.30

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Solution

The fourth proportional to 310,571.70, 465,857.55 and 275,142.30 is: 412,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,571.70 : 465,857.55 = 275,142.30 : x
  2. Step 2: Convert to fraction form
    310,571.70/465,857.55 = 275,142.30/x
  3. Step 3: Cross multiply
    310,571.70x = 465,857.55 × 275,142.30
  4. Step 4: Simplify right side
    310,571.70x = 128,177,117,779.37
  5. Step 5: Solve for x
    x = 128,177,117,779.37/310,571.70
  6. Step 6: Final answer
    x = 412,713.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.