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Finding the Fourth Proportional to 385,404.80, 577,963.40 and 132,613.78

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Solution

The fourth proportional to 385,404.80, 577,963.40 and 132,613.78 is: 198,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,404.80 : 577,963.40 = 132,613.78 : x
  2. Step 2: Convert to fraction form
    385,404.80/577,963.40 = 132,613.78/x
  3. Step 3: Cross multiply
    385,404.80x = 577,963.40 × 132,613.78
  4. Step 4: Simplify right side
    385,404.80x = 76,645,911,175.65
  5. Step 5: Solve for x
    x = 76,645,911,175.65/385,404.80
  6. Step 6: Final answer
    x = 198,871.19

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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.