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Finding the Fourth Proportional to 431,121.60, 646,400.76 and 206,474.76

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Solution

The fourth proportional to 431,121.60, 646,400.76 and 206,474.76 is: 309,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,121.60 : 646,400.76 = 206,474.76 : x
  2. Step 2: Convert to fraction form
    431,121.60/646,400.76 = 206,474.76/x
  3. Step 3: Cross multiply
    431,121.60x = 646,400.76 × 206,474.76
  4. Step 4: Simplify right side
    431,121.60x = 133,465,441,784.82
  5. Step 5: Solve for x
    x = 133,465,441,784.82/431,121.60
  6. Step 6: Final answer
    x = 309,577.26

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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.