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Finding the Fourth Proportional to 502,654.72, 753,978.24 and 128,677.12

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Solution

The fourth proportional to 502,654.72, 753,978.24 and 128,677.12 is: 193,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,654.72 : 753,978.24 = 128,677.12 : x
  2. Step 2: Convert to fraction form
    502,654.72/753,978.24 = 128,677.12/x
  3. Step 3: Cross multiply
    502,654.72x = 753,978.24 × 128,677.12
  4. Step 4: Simplify right side
    502,654.72x = 97,019,748,465.87
  5. Step 5: Solve for x
    x = 97,019,748,465.87/502,654.72
  6. Step 6: Final answer
    x = 193,014.70

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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.