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Finding the Fourth Proportional to 465,892.88, 698,854.82 and 128,905.29

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Solution

The fourth proportional to 465,892.88, 698,854.82 and 128,905.29 is: 193,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,892.88 : 698,854.82 = 128,905.29 : x
  2. Step 2: Convert to fraction form
    465,892.88/698,854.82 = 128,905.29/x
  3. Step 3: Cross multiply
    465,892.88x = 698,854.82 × 128,905.29
  4. Step 4: Simplify right side
    465,892.88x = 90,086,082,595.47
  5. Step 5: Solve for x
    x = 90,086,082,595.47/465,892.88
  6. Step 6: Final answer
    x = 193,362.22

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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.