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Finding the Fourth Proportional to 486,140.80, 729,211.20 and 458,584.60

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Solution

The fourth proportional to 486,140.80, 729,211.20 and 458,584.60 is: 687,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,140.80 : 729,211.20 = 458,584.60 : x
  2. Step 2: Convert to fraction form
    486,140.80/729,211.20 = 458,584.60/x
  3. Step 3: Cross multiply
    486,140.80x = 729,211.20 × 458,584.60
  4. Step 4: Simplify right side
    486,140.80x = 334,405,026,467.52
  5. Step 5: Solve for x
    x = 334,405,026,467.52/486,140.80
  6. Step 6: Final answer
    x = 687,876.90

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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.