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Finding the Fourth Proportional to 442,428.68, 610,603.41 and 251,470.78

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Solution

The fourth proportional to 442,428.68, 610,603.41 and 251,470.78 is: 347,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,428.68 : 610,603.41 = 251,470.78 : x
  2. Step 2: Convert to fraction form
    442,428.68/610,603.41 = 251,470.78/x
  3. Step 3: Cross multiply
    442,428.68x = 610,603.41 × 251,470.78
  4. Step 4: Simplify right side
    442,428.68x = 153,548,915,199.87
  5. Step 5: Solve for x
    x = 153,548,915,199.87/442,428.68
  6. Step 6: Final answer
    x = 347,059.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.