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Finding the Fourth Proportional to 431,785.60, 647,678.40 and 312,899.20

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Solution

The fourth proportional to 431,785.60, 647,678.40 and 312,899.20 is: 469,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,785.60 : 647,678.40 = 312,899.20 : x
  2. Step 2: Convert to fraction form
    431,785.60/647,678.40 = 312,899.20/x
  3. Step 3: Cross multiply
    431,785.60x = 647,678.40 × 312,899.20
  4. Step 4: Simplify right side
    431,785.60x = 202,658,053,217.28
  5. Step 5: Solve for x
    x = 202,658,053,217.28/431,785.60
  6. Step 6: Final answer
    x = 469,348.80

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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.