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Finding the Fourth Proportional to 407,476.38, 562,322.31 and 226,191.90

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Solution

The fourth proportional to 407,476.38, 562,322.31 and 226,191.90 is: 312,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,476.38 : 562,322.31 = 226,191.90 : x
  2. Step 2: Convert to fraction form
    407,476.38/562,322.31 = 226,191.90/x
  3. Step 3: Cross multiply
    407,476.38x = 562,322.31 × 226,191.90
  4. Step 4: Simplify right side
    407,476.38x = 127,192,751,711.29
  5. Step 5: Solve for x
    x = 127,192,751,711.29/407,476.38
  6. Step 6: Final answer
    x = 312,147.55

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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.