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Finding the Fourth Proportional to 418,658.28, 577,877.96 and 311,373.60

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Solution

The fourth proportional to 418,658.28, 577,877.96 and 311,373.60 is: 429,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,658.28 : 577,877.96 = 311,373.60 : x
  2. Step 2: Convert to fraction form
    418,658.28/577,877.96 = 311,373.60/x
  3. Step 3: Cross multiply
    418,658.28x = 577,877.96 × 311,373.60
  4. Step 4: Simplify right side
    418,658.28x = 179,935,940,765.86
  5. Step 5: Solve for x
    x = 179,935,940,765.86/418,658.28
  6. Step 6: Final answer
    x = 429,791.91

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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.