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Finding the Fourth Proportional to 385,400.79, 577,957.41 and 132,609.78

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Solution

The fourth proportional to 385,400.79, 577,957.41 and 132,609.78 is: 198,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,400.79 : 577,957.41 = 132,609.78 : x
  2. Step 2: Convert to fraction form
    385,400.79/577,957.41 = 132,609.78/x
  3. Step 3: Cross multiply
    385,400.79x = 577,957.41 × 132,609.78
  4. Step 4: Simplify right side
    385,400.79x = 76,642,804,989.47
  5. Step 5: Solve for x
    x = 76,642,804,989.47/385,400.79
  6. Step 6: Final answer
    x = 198,865.20

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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.