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Finding the Fourth Proportional to 391,796.80, 587,695.20 and 340,475.20

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Solution

The fourth proportional to 391,796.80, 587,695.20 and 340,475.20 is: 510,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,796.80 : 587,695.20 = 340,475.20 : x
  2. Step 2: Convert to fraction form
    391,796.80/587,695.20 = 340,475.20/x
  3. Step 3: Cross multiply
    391,796.80x = 587,695.20 × 340,475.20
  4. Step 4: Simplify right side
    391,796.80x = 200,095,640,759.04
  5. Step 5: Solve for x
    x = 200,095,640,759.04/391,796.80
  6. Step 6: Final answer
    x = 510,712.80

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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.