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Finding the Fourth Proportional to 391,113.83, 539,737.31 and 212,265.83

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Solution

The fourth proportional to 391,113.83, 539,737.31 and 212,265.83 is: 292,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,113.83 : 539,737.31 = 212,265.83 : x
  2. Step 2: Convert to fraction form
    391,113.83/539,737.31 = 212,265.83/x
  3. Step 3: Cross multiply
    391,113.83x = 539,737.31 × 212,265.83
  4. Step 4: Simplify right side
    391,113.83x = 114,567,788,089.12
  5. Step 5: Solve for x
    x = 114,567,788,089.12/391,113.83
  6. Step 6: Final answer
    x = 292,926.97

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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.