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Finding the Fourth Proportional to 310,406.40, 465,210.24 and 270,261.12

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Solution

The fourth proportional to 310,406.40, 465,210.24 and 270,261.12 is: 405,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,406.40 : 465,210.24 = 270,261.12 : x
  2. Step 2: Convert to fraction form
    310,406.40/465,210.24 = 270,261.12/x
  3. Step 3: Cross multiply
    310,406.40x = 465,210.24 × 270,261.12
  4. Step 4: Simplify right side
    310,406.40x = 125,728,240,497.87
  5. Step 5: Solve for x
    x = 125,728,240,497.87/310,406.40
  6. Step 6: Final answer
    x = 405,043.97

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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.