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Finding the Fourth Proportional to 319,445.43, 478,761.11 and 169,757.43

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Solution

The fourth proportional to 319,445.43, 478,761.11 and 169,757.43 is: 254,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,445.43 : 478,761.11 = 169,757.43 : x
  2. Step 2: Convert to fraction form
    319,445.43/478,761.11 = 169,757.43/x
  3. Step 3: Cross multiply
    319,445.43x = 478,761.11 × 169,757.43
  4. Step 4: Simplify right side
    319,445.43x = 81,273,255,617.55
  5. Step 5: Solve for x
    x = 81,273,255,617.55/319,445.43
  6. Step 6: Final answer
    x = 254,419.84

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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.