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Finding the Fourth Proportional to 387,272.70, 580,414.23 and 312,428.13

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Solution

The fourth proportional to 387,272.70, 580,414.23 and 312,428.13 is: 468,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,272.70 : 580,414.23 = 312,428.13 : x
  2. Step 2: Convert to fraction form
    387,272.70/580,414.23 = 312,428.13/x
  3. Step 3: Cross multiply
    387,272.70x = 580,414.23 × 312,428.13
  4. Step 4: Simplify right side
    387,272.70x = 181,337,732,504.29
  5. Step 5: Solve for x
    x = 181,337,732,504.29/387,272.70
  6. Step 6: Final answer
    x = 468,243.00

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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.