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Finding the Fourth Proportional to 458,330.76, 687,514.78 and 218,321.28

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Solution

The fourth proportional to 458,330.76, 687,514.78 and 218,321.28 is: 327,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,330.76 : 687,514.78 = 218,321.28 : x
  2. Step 2: Convert to fraction form
    458,330.76/687,514.78 = 218,321.28/x
  3. Step 3: Cross multiply
    458,330.76x = 687,514.78 × 218,321.28
  4. Step 4: Simplify right side
    458,330.76x = 150,099,106,788.52
  5. Step 5: Solve for x
    x = 150,099,106,788.52/458,330.76
  6. Step 6: Final answer
    x = 327,490.80

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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.