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Finding the Fourth Proportional to 257,657.45, 386,305.10 and 113,494.86

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Solution

The fourth proportional to 257,657.45, 386,305.10 and 113,494.86 is: 170,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,657.45 : 386,305.10 = 113,494.86 : x
  2. Step 2: Convert to fraction form
    257,657.45/386,305.10 = 113,494.86/x
  3. Step 3: Cross multiply
    257,657.45x = 386,305.10 × 113,494.86
  4. Step 4: Simplify right side
    257,657.45x = 43,843,642,674.31
  5. Step 5: Solve for x
    x = 43,843,642,674.31/257,657.45
  6. Step 6: Final answer
    x = 170,162.53

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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.