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Finding the Fourth Proportional to 278,680.44, 384,574.86 and 156,171

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Solution

The fourth proportional to 278,680.44, 384,574.86 and 156,171 is: 215,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,680.44 : 384,574.86 = 156,171 : x
  2. Step 2: Convert to fraction form
    278,680.44/384,574.86 = 156,171/x
  3. Step 3: Cross multiply
    278,680.44x = 384,574.86 × 156,171
  4. Step 4: Simplify right side
    278,680.44x = 60,059,440,461.06
  5. Step 5: Solve for x
    x = 60,059,440,461.06/278,680.44
  6. Step 6: Final answer
    x = 215,513.66

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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.