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Finding the Fourth Proportional to 385,123.80, 577,544.22 and 132,332.58

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Solution

The fourth proportional to 385,123.80, 577,544.22 and 132,332.58 is: 198,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,123.80 : 577,544.22 = 132,332.58 : x
  2. Step 2: Convert to fraction form
    385,123.80/577,544.22 = 132,332.58/x
  3. Step 3: Cross multiply
    385,123.80x = 577,544.22 × 132,332.58
  4. Step 4: Simplify right side
    385,123.80x = 76,427,916,696.69
  5. Step 5: Solve for x
    x = 76,427,916,696.69/385,123.80
  6. Step 6: Final answer
    x = 198,450.26

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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.