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Finding the Fourth Proportional to 458,397.27, 687,736.68 and 218,816.90

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Solution

The fourth proportional to 458,397.27, 687,736.68 and 218,816.90 is: 328,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,397.27 : 687,736.68 = 218,816.90 : x
  2. Step 2: Convert to fraction form
    458,397.27/687,736.68 = 218,816.90/x
  3. Step 3: Cross multiply
    458,397.27x = 687,736.68 × 218,816.90
  4. Step 4: Simplify right side
    458,397.27x = 150,488,404,895.21
  5. Step 5: Solve for x
    x = 150,488,404,895.21/458,397.27
  6. Step 6: Final answer
    x = 328,292.54

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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.