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Finding the Fourth Proportional to 654,139.80, 981,209.70 and 512,422.20

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Solution

The fourth proportional to 654,139.80, 981,209.70 and 512,422.20 is: 768,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,139.80 : 981,209.70 = 512,422.20 : x
  2. Step 2: Convert to fraction form
    654,139.80/981,209.70 = 512,422.20/x
  3. Step 3: Cross multiply
    654,139.80x = 981,209.70 × 512,422.20
  4. Step 4: Simplify right side
    654,139.80x = 502,793,633,135.34
  5. Step 5: Solve for x
    x = 502,793,633,135.34/654,139.80
  6. Step 6: Final answer
    x = 768,633.30

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Double scale
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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.