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Finding the Fourth Proportional to 264,369.92, 396,470.90 and 86,835.60

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Solution

The fourth proportional to 264,369.92, 396,470.90 and 86,835.60 is: 130,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,369.92 : 396,470.90 = 86,835.60 : x
  2. Step 2: Convert to fraction form
    264,369.92/396,470.90 = 86,835.60/x
  3. Step 3: Cross multiply
    264,369.92x = 396,470.90 × 86,835.60
  4. Step 4: Simplify right side
    264,369.92x = 34,427,788,701.13
  5. Step 5: Solve for x
    x = 34,427,788,701.13/264,369.92
  6. Step 6: Final answer
    x = 130,225.82

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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.