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Finding the Fourth Proportional to 647,209,684.80, 970,814,527.20 and 429,531,451.20

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Solution

The fourth proportional to 647,209,684.80, 970,814,527.20 and 429,531,451.20 is: 644,297,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,209,684.80 : 970,814,527.20 = 429,531,451.20 : x
  2. Step 2: Convert to fraction form
    647,209,684.80/970,814,527.20 = 429,531,451.20/x
  3. Step 3: Cross multiply
    647,209,684.80x = 970,814,527.20 × 429,531,451.20
  4. Step 4: Simplify right side
    647,209,684.80x = 416,995,372,714,257,856
  5. Step 5: Solve for x
    x = 416,995,372,714,257,856/647,209,684.80
  6. Step 6: Final answer
    x = 644,297,176.80

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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.