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Finding the Fourth Proportional to 390,118.59, 585,198.14 and 123,899.94

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Solution

The fourth proportional to 390,118.59, 585,198.14 and 123,899.94 is: 185,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,118.59 : 585,198.14 = 123,899.94 : x
  2. Step 2: Convert to fraction form
    390,118.59/585,198.14 = 123,899.94/x
  3. Step 3: Cross multiply
    390,118.59x = 585,198.14 × 123,899.94
  4. Step 4: Simplify right side
    390,118.59x = 72,506,013,814.61
  5. Step 5: Solve for x
    x = 72,506,013,814.61/390,118.59
  6. Step 6: Final answer
    x = 185,856.34

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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.