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Finding the Fourth Proportional to 257,546.40, 386,319.60 and 68,006.40

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Solution

The fourth proportional to 257,546.40, 386,319.60 and 68,006.40 is: 102,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,546.40 : 386,319.60 = 68,006.40 : x
  2. Step 2: Convert to fraction form
    257,546.40/386,319.60 = 68,006.40/x
  3. Step 3: Cross multiply
    257,546.40x = 386,319.60 × 68,006.40
  4. Step 4: Simplify right side
    257,546.40x = 26,272,205,245.44
  5. Step 5: Solve for x
    x = 26,272,205,245.44/257,546.40
  6. Step 6: Final answer
    x = 102,009.60

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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.