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Finding the Fourth Proportional to 280,044.72, 386,447.76 and 159,170.16

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Solution

The fourth proportional to 280,044.72, 386,447.76 and 159,170.16 is: 219,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,044.72 : 386,447.76 = 159,170.16 : x
  2. Step 2: Convert to fraction form
    280,044.72/386,447.76 = 159,170.16/x
  3. Step 3: Cross multiply
    280,044.72x = 386,447.76 × 159,170.16
  4. Step 4: Simplify right side
    280,044.72x = 61,510,951,790.84
  5. Step 5: Solve for x
    x = 61,510,951,790.84/280,044.72
  6. Step 6: Final answer
    x = 219,646.89

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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.