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Finding the Fourth Proportional to 659,898, 910,659.24 and 358,092

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Solution

The fourth proportional to 659,898, 910,659.24 and 358,092 is: 494,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,898 : 910,659.24 = 358,092 : x
  2. Step 2: Convert to fraction form
    659,898/910,659.24 = 358,092/x
  3. Step 3: Cross multiply
    659,898x = 910,659.24 × 358,092
  4. Step 4: Simplify right side
    659,898x = 326,099,788,570.08
  5. Step 5: Solve for x
    x = 326,099,788,570.08/659,898
  6. Step 6: Final answer
    x = 494,166.96

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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.