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Finding the Fourth Proportional to 534,459.88, 801,688.38 and 218,917

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Solution

The fourth proportional to 534,459.88, 801,688.38 and 218,917 is: 328,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,459.88 : 801,688.38 = 218,917 : x
  2. Step 2: Convert to fraction form
    534,459.88/801,688.38 = 218,917/x
  3. Step 3: Cross multiply
    534,459.88x = 801,688.38 × 218,917
  4. Step 4: Simplify right side
    534,459.88x = 175,503,215,084.46
  5. Step 5: Solve for x
    x = 175,503,215,084.46/534,459.88
  6. Step 6: Final answer
    x = 328,374.91

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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.