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Finding the Fourth Proportional to 537,711.90, 742,707.27 and 394,244.70

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Solution

The fourth proportional to 537,711.90, 742,707.27 and 394,244.70 is: 544,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,711.90 : 742,707.27 = 394,244.70 : x
  2. Step 2: Convert to fraction form
    537,711.90/742,707.27 = 394,244.70/x
  3. Step 3: Cross multiply
    537,711.90x = 742,707.27 × 394,244.70
  4. Step 4: Simplify right side
    537,711.90x = 292,808,404,848.97
  5. Step 5: Solve for x
    x = 292,808,404,848.97/537,711.90
  6. Step 6: Final answer
    x = 544,545.15

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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.