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Finding the Fourth Proportional to 283,071.78, 424,709.82 and 142,724.70

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Solution

The fourth proportional to 283,071.78, 424,709.82 and 142,724.70 is: 214,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,071.78 : 424,709.82 = 142,724.70 : x
  2. Step 2: Convert to fraction form
    283,071.78/424,709.82 = 142,724.70/x
  3. Step 3: Cross multiply
    283,071.78x = 424,709.82 × 142,724.70
  4. Step 4: Simplify right side
    283,071.78x = 60,616,581,646.55
  5. Step 5: Solve for x
    x = 60,616,581,646.55/283,071.78
  6. Step 6: Final answer
    x = 214,138.55

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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.