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Finding the Fourth Proportional to 647,221.60, 970,832.40 and 423,272.80

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Solution

The fourth proportional to 647,221.60, 970,832.40 and 423,272.80 is: 634,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,221.60 : 970,832.40 = 423,272.80 : x
  2. Step 2: Convert to fraction form
    647,221.60/970,832.40 = 423,272.80/x
  3. Step 3: Cross multiply
    647,221.60x = 970,832.40 × 423,272.80
  4. Step 4: Simplify right side
    647,221.60x = 410,926,948,278.72
  5. Step 5: Solve for x
    x = 410,926,948,278.72/647,221.60
  6. Step 6: Final answer
    x = 634,909.20

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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.