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Finding the Fourth Proportional to 391,631.80, 587,447.70 and 312,899.80

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Solution

The fourth proportional to 391,631.80, 587,447.70 and 312,899.80 is: 469,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,631.80 : 587,447.70 = 312,899.80 : x
  2. Step 2: Convert to fraction form
    391,631.80/587,447.70 = 312,899.80/x
  3. Step 3: Cross multiply
    391,631.80x = 587,447.70 × 312,899.80
  4. Step 4: Simplify right side
    391,631.80x = 183,812,267,840.46
  5. Step 5: Solve for x
    x = 183,812,267,840.46/391,631.80
  6. Step 6: Final answer
    x = 469,349.70

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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.