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Finding the Fourth Proportional to 390,125.57, 585,188.28 and 109,642.82

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Solution

The fourth proportional to 390,125.57, 585,188.28 and 109,642.82 is: 164,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,125.57 : 585,188.28 = 109,642.82 : x
  2. Step 2: Convert to fraction form
    390,125.57/585,188.28 = 109,642.82/x
  3. Step 3: Cross multiply
    390,125.57x = 585,188.28 × 109,642.82
  4. Step 4: Simplify right side
    390,125.57x = 64,161,690,324.21
  5. Step 5: Solve for x
    x = 64,161,690,324.21/390,125.57
  6. Step 6: Final answer
    x = 164,464.20

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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.