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Finding the Fourth Proportional to 407,687.28, 562,567.17 and 238,019.82

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Solution

The fourth proportional to 407,687.28, 562,567.17 and 238,019.82 is: 328,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,687.28 : 562,567.17 = 238,019.82 : x
  2. Step 2: Convert to fraction form
    407,687.28/562,567.17 = 238,019.82/x
  3. Step 3: Cross multiply
    407,687.28x = 562,567.17 × 238,019.82
  4. Step 4: Simplify right side
    407,687.28x = 133,902,135,324.26
  5. Step 5: Solve for x
    x = 133,902,135,324.26/407,687.28
  6. Step 6: Final answer
    x = 328,443.25

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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.