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Finding the Fourth Proportional to 278,193.52, 383,902.52 and 157,330.28

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Solution

The fourth proportional to 278,193.52, 383,902.52 and 157,330.28 is: 217,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,193.52 : 383,902.52 = 157,330.28 : x
  2. Step 2: Convert to fraction form
    278,193.52/383,902.52 = 157,330.28/x
  3. Step 3: Cross multiply
    278,193.52x = 383,902.52 × 157,330.28
  4. Step 4: Simplify right side
    278,193.52x = 60,399,490,964.31
  5. Step 5: Solve for x
    x = 60,399,490,964.31/278,193.52
  6. Step 6: Final answer
    x = 217,113.22

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1.5x scale

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.