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Finding the Fourth Proportional to 461,112, 636,344.28 and 259,908

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Solution

The fourth proportional to 461,112, 636,344.28 and 259,908 is: 358,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,112 : 636,344.28 = 259,908 : x
  2. Step 2: Convert to fraction form
    461,112/636,344.28 = 259,908/x
  3. Step 3: Cross multiply
    461,112x = 636,344.28 × 259,908
  4. Step 4: Simplify right side
    461,112x = 165,390,969,126.24
  5. Step 5: Solve for x
    x = 165,390,969,126.24/461,112
  6. Step 6: Final answer
    x = 358,678.52

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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.