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Finding the Fourth Proportional to 257,917.68, 386,832.72 and 117,643.44

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Solution

The fourth proportional to 257,917.68, 386,832.72 and 117,643.44 is: 176,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,917.68 : 386,832.72 = 117,643.44 : x
  2. Step 2: Convert to fraction form
    257,917.68/386,832.72 = 117,643.44/x
  3. Step 3: Cross multiply
    257,917.68x = 386,832.72 × 117,643.44
  4. Step 4: Simplify right side
    257,917.68x = 45,508,331,885.36
  5. Step 5: Solve for x
    x = 45,508,331,885.36/257,917.68
  6. Step 6: Final answer
    x = 176,445.18

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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.