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Finding the Fourth Proportional to 257,420.60, 386,131.16 and 107,578.88

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Solution

The fourth proportional to 257,420.60, 386,131.16 and 107,578.88 is: 161,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,420.60 : 386,131.16 = 107,578.88 : x
  2. Step 2: Convert to fraction form
    257,420.60/386,131.16 = 107,578.88/x
  3. Step 3: Cross multiply
    257,420.60x = 386,131.16 × 107,578.88
  4. Step 4: Simplify right side
    257,420.60x = 41,539,557,725.90
  5. Step 5: Solve for x
    x = 41,539,557,725.90/257,420.60
  6. Step 6: Final answer
    x = 161,368.43

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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.