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Finding the Fourth Proportional to 391,505.10, 587,257.65 and 391,505.10

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Solution

The fourth proportional to 391,505.10, 587,257.65 and 391,505.10 is: 587,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,505.10 : 587,257.65 = 391,505.10 : x
  2. Step 2: Convert to fraction form
    391,505.10/587,257.65 = 391,505.10/x
  3. Step 3: Cross multiply
    391,505.10x = 587,257.65 × 391,505.10
  4. Step 4: Simplify right side
    391,505.10x = 229,914,364,989.02
  5. Step 5: Solve for x
    x = 229,914,364,989.02/391,505.10
  6. Step 6: Final answer
    x = 587,257.65

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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.