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Finding the Fourth Proportional to 257,921.68, 386,838.72 and 117,647.44

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Solution

The fourth proportional to 257,921.68, 386,838.72 and 117,647.44 is: 176,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,921.68 : 386,838.72 = 117,647.44 : x
  2. Step 2: Convert to fraction form
    257,921.68/386,838.72 = 117,647.44/x
  3. Step 3: Cross multiply
    257,921.68x = 386,838.72 × 117,647.44
  4. Step 4: Simplify right side
    257,921.68x = 45,510,585,100.88
  5. Step 5: Solve for x
    x = 45,510,585,100.88/257,921.68
  6. Step 6: Final answer
    x = 176,451.18

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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.