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Finding the Fourth Proportional to 278,045.50, 383,715.60 and 157,191.88

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Solution

The fourth proportional to 278,045.50, 383,715.60 and 157,191.88 is: 216,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.50 : 383,715.60 = 157,191.88 : x
  2. Step 2: Convert to fraction form
    278,045.50/383,715.60 = 157,191.88/x
  3. Step 3: Cross multiply
    278,045.50x = 383,715.60 × 157,191.88
  4. Step 4: Simplify right side
    278,045.50x = 60,316,976,549.33
  5. Step 5: Solve for x
    x = 60,316,976,549.33/278,045.50
  6. Step 6: Final answer
    x = 216,932.04

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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.