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Finding the Fourth Proportional to 431,591,612.80, 647,387,419.20 and 158,926,950.40

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Solution

The fourth proportional to 431,591,612.80, 647,387,419.20 and 158,926,950.40 is: 238,390,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,591,612.80 : 647,387,419.20 = 158,926,950.40 : x
  2. Step 2: Convert to fraction form
    431,591,612.80/647,387,419.20 = 158,926,950.40/x
  3. Step 3: Cross multiply
    431,591,612.80x = 647,387,419.20 × 158,926,950.40
  4. Step 4: Simplify right side
    431,591,612.80x = 102,887,308,260,782,416
  5. Step 5: Solve for x
    x = 102,887,308,260,782,416/431,591,612.80
  6. Step 6: Final answer
    x = 238,390,425.60

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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.