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Finding the Fourth Proportional to 431,095.53, 646,643.43 and 131,577.78

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Solution

The fourth proportional to 431,095.53, 646,643.43 and 131,577.78 is: 197,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,095.53 : 646,643.43 = 131,577.78 : x
  2. Step 2: Convert to fraction form
    431,095.53/646,643.43 = 131,577.78/x
  3. Step 3: Cross multiply
    431,095.53x = 646,643.43 × 131,577.78
  4. Step 4: Simplify right side
    431,095.53x = 85,083,906,970.99
  5. Step 5: Solve for x
    x = 85,083,906,970.99/431,095.53
  6. Step 6: Final answer
    x = 197,366.71

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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.