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Finding the Fourth Proportional to 658,399, 908,590.64 and 356,593

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Solution

The fourth proportional to 658,399, 908,590.64 and 356,593 is: 492,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,399 : 908,590.64 = 356,593 : x
  2. Step 2: Convert to fraction form
    658,399/908,590.64 = 356,593/x
  3. Step 3: Cross multiply
    658,399x = 908,590.64 × 356,593
  4. Step 4: Simplify right side
    658,399x = 323,997,062,089.52
  5. Step 5: Solve for x
    x = 323,997,062,089.52/658,399
  6. Step 6: Final answer
    x = 492,098.35

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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.