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Finding the Fourth Proportional to 424,164.78, 636,538.80 and 158,138.10

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Solution

The fourth proportional to 424,164.78, 636,538.80 and 158,138.10 is: 237,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,164.78 : 636,538.80 = 158,138.10 : x
  2. Step 2: Convert to fraction form
    424,164.78/636,538.80 = 158,138.10/x
  3. Step 3: Cross multiply
    424,164.78x = 636,538.80 × 158,138.10
  4. Step 4: Simplify right side
    424,164.78x = 100,661,036,408.28
  5. Step 5: Solve for x
    x = 100,661,036,408.28/424,164.78
  6. Step 6: Final answer
    x = 237,315.88

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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.