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Finding the Fourth Proportional to 260,939.49, 391,384.53 and 83,398.83

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Solution

The fourth proportional to 260,939.49, 391,384.53 and 83,398.83 is: 125,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,939.49 : 391,384.53 = 83,398.83 : x
  2. Step 2: Convert to fraction form
    260,939.49/391,384.53 = 83,398.83/x
  3. Step 3: Cross multiply
    260,939.49x = 391,384.53 × 83,398.83
  4. Step 4: Simplify right side
    260,939.49x = 32,641,011,882.10
  5. Step 5: Solve for x
    x = 32,641,011,882.10/260,939.49
  6. Step 6: Final answer
    x = 125,090.35

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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.