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Finding the Fourth Proportional to 278,042.93, 383,715.80 and 157,195.49

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Solution

The fourth proportional to 278,042.93, 383,715.80 and 157,195.49 is: 216,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,042.93 : 383,715.80 = 157,195.49 : x
  2. Step 2: Convert to fraction form
    278,042.93/383,715.80 = 157,195.49/x
  3. Step 3: Cross multiply
    278,042.93x = 383,715.80 × 157,195.49
  4. Step 4: Simplify right side
    278,042.93x = 60,318,391,086.67
  5. Step 5: Solve for x
    x = 60,318,391,086.67/278,042.93
  6. Step 6: Final answer
    x = 216,939.13

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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.