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Finding the Fourth Proportional to 424,044.50, 636,165 and 139,724.87

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Solution

The fourth proportional to 424,044.50, 636,165 and 139,724.87 is: 209,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,044.50 : 636,165 = 139,724.87 : x
  2. Step 2: Convert to fraction form
    424,044.50/636,165 = 139,724.87/x
  3. Step 3: Cross multiply
    424,044.50x = 636,165 × 139,724.87
  4. Step 4: Simplify right side
    424,044.50x = 88,888,068,742.73
  5. Step 5: Solve for x
    x = 88,888,068,742.73/424,044.50
  6. Step 6: Final answer
    x = 209,619.67

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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.