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Finding the Fourth Proportional to 391,340.75, 587,084.88 and 148,254.64

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Solution

The fourth proportional to 391,340.75, 587,084.88 and 148,254.64 is: 222,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,340.75 : 587,084.88 = 148,254.64 : x
  2. Step 2: Convert to fraction form
    391,340.75/587,084.88 = 148,254.64/x
  3. Step 3: Cross multiply
    391,340.75x = 587,084.88 × 148,254.64
  4. Step 4: Simplify right side
    391,340.75x = 87,038,055,324.86
  5. Step 5: Solve for x
    x = 87,038,055,324.86/391,340.75
  6. Step 6: Final answer
    x = 222,409.89

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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.