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Finding the Fourth Proportional to 310,591.83, 465,898.17 and 85,933.47

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Solution

The fourth proportional to 310,591.83, 465,898.17 and 85,933.47 is: 128,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,591.83 : 465,898.17 = 85,933.47 : x
  2. Step 2: Convert to fraction form
    310,591.83/465,898.17 = 85,933.47/x
  3. Step 3: Cross multiply
    310,591.83x = 465,898.17 × 85,933.47
  4. Step 4: Simplify right side
    310,591.83x = 40,036,246,414.75
  5. Step 5: Solve for x
    x = 40,036,246,414.75/310,591.83
  6. Step 6: Final answer
    x = 128,903.09

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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.