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Finding the Fourth Proportional to 227,864, 314,479.04 and 137,265.70

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Solution

The fourth proportional to 227,864, 314,479.04 and 137,265.70 is: 189,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,864 : 314,479.04 = 137,265.70 : x
  2. Step 2: Convert to fraction form
    227,864/314,479.04 = 137,265.70/x
  3. Step 3: Cross multiply
    227,864x = 314,479.04 × 137,265.70
  4. Step 4: Simplify right side
    227,864x = 43,167,185,560.93
  5. Step 5: Solve for x
    x = 43,167,185,560.93/227,864
  6. Step 6: Final answer
    x = 189,442.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.