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Finding the Fourth Proportional to 264,443.60, 396,584.40 and 86,909.60

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Solution

The fourth proportional to 264,443.60, 396,584.40 and 86,909.60 is: 130,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,443.60 : 396,584.40 = 86,909.60 : x
  2. Step 2: Convert to fraction form
    264,443.60/396,584.40 = 86,909.60/x
  3. Step 3: Cross multiply
    264,443.60x = 396,584.40 × 86,909.60
  4. Step 4: Simplify right side
    264,443.60x = 34,466,991,570.24
  5. Step 5: Solve for x
    x = 34,466,991,570.24/264,443.60
  6. Step 6: Final answer
    x = 130,337.78

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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.