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Finding the Fourth Proportional to 393,772.82, 542,262.89 and 342,066.20

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Solution

The fourth proportional to 393,772.82, 542,262.89 and 342,066.20 is: 471,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,772.82 : 542,262.89 = 342,066.20 : x
  2. Step 2: Convert to fraction form
    393,772.82/542,262.89 = 342,066.20/x
  3. Step 3: Cross multiply
    393,772.82x = 542,262.89 × 342,066.20
  4. Step 4: Simplify right side
    393,772.82x = 185,489,804,472.99
  5. Step 5: Solve for x
    x = 185,489,804,472.99/393,772.82
  6. Step 6: Final answer
    x = 471,057.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.