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Finding the Fourth Proportional to 431,796,354.60, 647,694,531.90 and 354,312,256.80

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Solution

The fourth proportional to 431,796,354.60, 647,694,531.90 and 354,312,256.80 is: 531,468,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796,354.60 : 647,694,531.90 = 354,312,256.80 : x
  2. Step 2: Convert to fraction form
    431,796,354.60/647,694,531.90 = 354,312,256.80/x
  3. Step 3: Cross multiply
    431,796,354.60x = 647,694,531.90 × 354,312,256.80
  4. Step 4: Simplify right side
    431,796,354.60x = 229,486,111,314,508,576
  5. Step 5: Solve for x
    x = 229,486,111,314,508,576/431,796,354.60
  6. Step 6: Final answer
    x = 531,468,385.20

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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.