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Finding the Fourth Proportional to 268,494.13, 402,475.14 and 126,084.47

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Solution

The fourth proportional to 268,494.13, 402,475.14 and 126,084.47 is: 189,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,494.13 : 402,475.14 = 126,084.47 : x
  2. Step 2: Convert to fraction form
    268,494.13/402,475.14 = 126,084.47/x
  3. Step 3: Cross multiply
    268,494.13x = 402,475.14 × 126,084.47
  4. Step 4: Simplify right side
    268,494.13x = 50,745,866,275.89
  5. Step 5: Solve for x
    x = 50,745,866,275.89/268,494.13
  6. Step 6: Final answer
    x = 189,001.77

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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.