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Finding the Fourth Proportional to 387,281.70, 580,747.59 and 137,970.18

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Solution

The fourth proportional to 387,281.70, 580,747.59 and 137,970.18 is: 206,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,281.70 : 580,747.59 = 137,970.18 : x
  2. Step 2: Convert to fraction form
    387,281.70/580,747.59 = 137,970.18/x
  3. Step 3: Cross multiply
    387,281.70x = 580,747.59 × 137,970.18
  4. Step 4: Simplify right side
    387,281.70x = 80,125,849,526.87
  5. Step 5: Solve for x
    x = 80,125,849,526.87/387,281.70
  6. Step 6: Final answer
    x = 206,892.94

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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.