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Finding the Fourth Proportional to 261,967.29, 392,671.17 and 149,405.15

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Solution

The fourth proportional to 261,967.29, 392,671.17 and 149,405.15 is: 223,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,967.29 : 392,671.17 = 149,405.15 : x
  2. Step 2: Convert to fraction form
    261,967.29/392,671.17 = 149,405.15/x
  3. Step 3: Cross multiply
    261,967.29x = 392,671.17 × 149,405.15
  4. Step 4: Simplify right side
    261,967.29x = 58,667,093,091.17
  5. Step 5: Solve for x
    x = 58,667,093,091.17/261,967.29
  6. Step 6: Final answer
    x = 223,948.16

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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.