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Finding the Fourth Proportional to 278,208, 383,946.88 and 157,350.40

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Solution

The fourth proportional to 278,208, 383,946.88 and 157,350.40 is: 217,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,208 : 383,946.88 = 157,350.40 : x
  2. Step 2: Convert to fraction form
    278,208/383,946.88 = 157,350.40/x
  3. Step 3: Cross multiply
    278,208x = 383,946.88 × 157,350.40
  4. Step 4: Simplify right side
    278,208x = 60,414,195,146.75
  5. Step 5: Solve for x
    x = 60,414,195,146.75/278,208
  6. Step 6: Final answer
    x = 217,154.77

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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.