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Finding the Fourth Proportional to 659,909, 910,675.24 and 358,103

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Solution

The fourth proportional to 659,909, 910,675.24 and 358,103 is: 494,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,909 : 910,675.24 = 358,103 : x
  2. Step 2: Convert to fraction form
    659,909/910,675.24 = 358,103/x
  3. Step 3: Cross multiply
    659,909x = 910,675.24 × 358,103
  4. Step 4: Simplify right side
    659,909x = 326,115,535,469.72
  5. Step 5: Solve for x
    x = 326,115,535,469.72/659,909
  6. Step 6: Final answer
    x = 494,182.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.