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Finding the Fourth Proportional to 431,569,338.60, 646,928,855.10 and 213,253,375.80

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Solution

The fourth proportional to 431,569,338.60, 646,928,855.10 and 213,253,375.80 is: 319,669,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,338.60 : 646,928,855.10 = 213,253,375.80 : x
  2. Step 2: Convert to fraction form
    431,569,338.60/646,928,855.10 = 213,253,375.80/x
  3. Step 3: Cross multiply
    431,569,338.60x = 646,928,855.10 × 213,253,375.80
  4. Step 4: Simplify right side
    431,569,338.60x = 137,959,762,252,504,064
  5. Step 5: Solve for x
    x = 137,959,762,252,504,064/431,569,338.60
  6. Step 6: Final answer
    x = 319,669,980.96

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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.