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Finding the Fourth Proportional to 387,220.48, 580,743.03 and 147,248.53

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Solution

The fourth proportional to 387,220.48, 580,743.03 and 147,248.53 is: 220,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,220.48 : 580,743.03 = 147,248.53 : x
  2. Step 2: Convert to fraction form
    387,220.48/580,743.03 = 147,248.53/x
  3. Step 3: Cross multiply
    387,220.48x = 580,743.03 × 147,248.53
  4. Step 4: Simplify right side
    387,220.48x = 85,513,557,475.25
  5. Step 5: Solve for x
    x = 85,513,557,475.25/387,220.48
  6. Step 6: Final answer
    x = 220,839.45

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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.