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Finding the Fourth Proportional to 310,505.15, 465,757.70 and 100,143.09

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Solution

The fourth proportional to 310,505.15, 465,757.70 and 100,143.09 is: 150,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,505.15 : 465,757.70 = 100,143.09 : x
  2. Step 2: Convert to fraction form
    310,505.15/465,757.70 = 100,143.09/x
  3. Step 3: Cross multiply
    310,505.15x = 465,757.70 × 100,143.09
  4. Step 4: Simplify right side
    310,505.15x = 46,642,414,768.58
  5. Step 5: Solve for x
    x = 46,642,414,768.58/310,505.15
  6. Step 6: Final answer
    x = 150,214.63

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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.