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Finding the Fourth Proportional to 264,862.28, 397,305.65 and 87,384.80

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Solution

The fourth proportional to 264,862.28, 397,305.65 and 87,384.80 is: 131,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,862.28 : 397,305.65 = 87,384.80 : x
  2. Step 2: Convert to fraction form
    264,862.28/397,305.65 = 87,384.80/x
  3. Step 3: Cross multiply
    264,862.28x = 397,305.65 × 87,384.80
  4. Step 4: Simplify right side
    264,862.28x = 34,718,474,764.12
  5. Step 5: Solve for x
    x = 34,718,474,764.12/264,862.28
  6. Step 6: Final answer
    x = 131,081.23

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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.