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Finding the Fourth Proportional to 278,113.16, 383,793.80 and 157,278.16

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Solution

The fourth proportional to 278,113.16, 383,793.80 and 157,278.16 is: 217,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,113.16 : 383,793.80 = 157,278.16 : x
  2. Step 2: Convert to fraction form
    278,113.16/383,793.80 = 157,278.16/x
  3. Step 3: Cross multiply
    278,113.16x = 383,793.80 × 157,278.16
  4. Step 4: Simplify right side
    278,113.16x = 60,362,382,683.41
  5. Step 5: Solve for x
    x = 60,362,382,683.41/278,113.16
  6. Step 6: Final answer
    x = 217,042.53

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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.