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Finding the Fourth Proportional to 261,811.39, 392,709.24 and 72,283.32

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Solution

The fourth proportional to 261,811.39, 392,709.24 and 72,283.32 is: 108,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,811.39 : 392,709.24 = 72,283.32 : x
  2. Step 2: Convert to fraction form
    261,811.39/392,709.24 = 72,283.32/x
  3. Step 3: Cross multiply
    261,811.39x = 392,709.24 × 72,283.32
  4. Step 4: Simplify right side
    261,811.39x = 28,386,329,115.32
  5. Step 5: Solve for x
    x = 28,386,329,115.32/261,811.39
  6. Step 6: Final answer
    x = 108,422.82

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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.