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Finding the Fourth Proportional to 654,081.40, 981,267.90 and 512,363.80

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Solution

The fourth proportional to 654,081.40, 981,267.90 and 512,363.80 is: 768,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,081.40 : 981,267.90 = 512,363.80 : x
  2. Step 2: Convert to fraction form
    654,081.40/981,267.90 = 512,363.80/x
  3. Step 3: Cross multiply
    654,081.40x = 981,267.90 × 512,363.80
  4. Step 4: Simplify right side
    654,081.40x = 502,766,150,062.02
  5. Step 5: Solve for x
    x = 502,766,150,062.02/654,081.40
  6. Step 6: Final answer
    x = 768,659.91

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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.