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Finding the Fourth Proportional to 278,258.16, 383,996.32 and 157,396.88

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Solution

The fourth proportional to 278,258.16, 383,996.32 and 157,396.88 is: 217,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,258.16 : 383,996.32 = 157,396.88 : x
  2. Step 2: Convert to fraction form
    278,258.16/383,996.32 = 157,396.88/x
  3. Step 3: Cross multiply
    278,258.16x = 383,996.32 × 157,396.88
  4. Step 4: Simplify right side
    278,258.16x = 60,439,822,699.48
  5. Step 5: Solve for x
    x = 60,439,822,699.48/278,258.16
  6. Step 6: Final answer
    x = 217,207.73

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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.