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Finding the Fourth Proportional to 200,476.40, 300,714.24 and 88,129.76

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Solution

The fourth proportional to 200,476.40, 300,714.24 and 88,129.76 is: 132,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,476.40 : 300,714.24 = 88,129.76 : x
  2. Step 2: Convert to fraction form
    200,476.40/300,714.24 = 88,129.76/x
  3. Step 3: Cross multiply
    200,476.40x = 300,714.24 × 88,129.76
  4. Step 4: Simplify right side
    200,476.40x = 26,501,873,799.78
  5. Step 5: Solve for x
    x = 26,501,873,799.78/200,476.40
  6. Step 6: Final answer
    x = 132,194.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.