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Finding the Fourth Proportional to 390,147.89, 585,221.84 and 109,665.14

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Solution

The fourth proportional to 390,147.89, 585,221.84 and 109,665.14 is: 164,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,147.89 : 585,221.84 = 109,665.14 : x
  2. Step 2: Convert to fraction form
    390,147.89/585,221.84 = 109,665.14/x
  3. Step 3: Cross multiply
    390,147.89x = 585,221.84 × 109,665.14
  4. Step 4: Simplify right side
    390,147.89x = 64,178,434,934.91
  5. Step 5: Solve for x
    x = 64,178,434,934.91/390,147.89
  6. Step 6: Final answer
    x = 164,497.71

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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.