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Finding the Fourth Proportional to 678,059.42, 935,489.66 and 387,462.20

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Solution

The fourth proportional to 678,059.42, 935,489.66 and 387,462.20 is: 534,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,059.42 : 935,489.66 = 387,462.20 : x
  2. Step 2: Convert to fraction form
    678,059.42/935,489.66 = 387,462.20/x
  3. Step 3: Cross multiply
    678,059.42x = 935,489.66 × 387,462.20
  4. Step 4: Simplify right side
    678,059.42x = 362,466,875,126.09
  5. Step 5: Solve for x
    x = 362,466,875,126.09/678,059.42
  6. Step 6: Final answer
    x = 534,565.06

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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.