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Finding the Fourth Proportional to 278,098.92, 383,752.89 and 157,223.43

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Solution

The fourth proportional to 278,098.92, 383,752.89 and 157,223.43 is: 216,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,098.92 : 383,752.89 = 157,223.43 : x
  2. Step 2: Convert to fraction form
    278,098.92/383,752.89 = 157,223.43/x
  3. Step 3: Cross multiply
    278,098.92x = 383,752.89 × 157,223.43
  4. Step 4: Simplify right side
    278,098.92x = 60,334,945,638.21
  5. Step 5: Solve for x
    x = 60,334,945,638.21/278,098.92
  6. Step 6: Final answer
    x = 216,954.98

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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.