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Finding the Fourth Proportional to 287,146.27, 396,261.85 and 159,819.13

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Solution

The fourth proportional to 287,146.27, 396,261.85 and 159,819.13 is: 220,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,146.27 : 396,261.85 = 159,819.13 : x
  2. Step 2: Convert to fraction form
    287,146.27/396,261.85 = 159,819.13/x
  3. Step 3: Cross multiply
    287,146.27x = 396,261.85 × 159,819.13
  4. Step 4: Simplify right side
    287,146.27x = 63,330,221,836.17
  5. Step 5: Solve for x
    x = 63,330,221,836.17/287,146.27
  6. Step 6: Final answer
    x = 220,550.39

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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.