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Finding the Fourth Proportional to 647,209,685.80, 970,814,528.70 and 429,531,452.20

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Solution

The fourth proportional to 647,209,685.80, 970,814,528.70 and 429,531,452.20 is: 644,297,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,209,685.80 : 970,814,528.70 = 429,531,452.20 : x
  2. Step 2: Convert to fraction form
    647,209,685.80/970,814,528.70 = 429,531,452.20/x
  3. Step 3: Cross multiply
    647,209,685.80x = 970,814,528.70 × 429,531,452.20
  4. Step 4: Simplify right side
    647,209,685.80x = 416,995,374,329,369,600
  5. Step 5: Solve for x
    x = 416,995,374,329,369,600/647,209,685.80
  6. Step 6: Final answer
    x = 644,297,178.30

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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.