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Finding the Fourth Proportional to 280,160.74, 386,620 and 159,301.99

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Solution

The fourth proportional to 280,160.74, 386,620 and 159,301.99 is: 219,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,160.74 : 386,620 = 159,301.99 : x
  2. Step 2: Convert to fraction form
    280,160.74/386,620 = 159,301.99/x
  3. Step 3: Cross multiply
    280,160.74x = 386,620 × 159,301.99
  4. Step 4: Simplify right side
    280,160.74x = 61,589,335,373.80
  5. Step 5: Solve for x
    x = 61,589,335,373.80/280,160.74
  6. Step 6: Final answer
    x = 219,835.71

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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.