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Finding the Fourth Proportional to 390,073.84, 585,131.02 and 123,855.20

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Solution

The fourth proportional to 390,073.84, 585,131.02 and 123,855.20 is: 185,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,073.84 : 585,131.02 = 123,855.20 : x
  2. Step 2: Convert to fraction form
    390,073.84/585,131.02 = 123,855.20/x
  3. Step 3: Cross multiply
    390,073.84x = 585,131.02 × 123,855.20
  4. Step 4: Simplify right side
    390,073.84x = 72,471,519,508.30
  5. Step 5: Solve for x
    x = 72,471,519,508.30/390,073.84
  6. Step 6: Final answer
    x = 185,789.23

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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.