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Finding the Fourth Proportional to 647,463.60, 971,195.40 and 423,514.80

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Solution

The fourth proportional to 647,463.60, 971,195.40 and 423,514.80 is: 635,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,463.60 : 971,195.40 = 423,514.80 : x
  2. Step 2: Convert to fraction form
    647,463.60/971,195.40 = 423,514.80/x
  3. Step 3: Cross multiply
    647,463.60x = 971,195.40 × 423,514.80
  4. Step 4: Simplify right side
    647,463.60x = 411,315,625,591.92
  5. Step 5: Solve for x
    x = 411,315,625,591.92/647,463.60
  6. Step 6: Final answer
    x = 635,272.20

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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.