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Finding the Fourth Proportional to 257,663.67, 386,314.41 and 113,501.10

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Solution

The fourth proportional to 257,663.67, 386,314.41 and 113,501.10 is: 170,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,663.67 : 386,314.41 = 113,501.10 : x
  2. Step 2: Convert to fraction form
    257,663.67/386,314.41 = 113,501.10/x
  3. Step 3: Cross multiply
    257,663.67x = 386,314.41 × 113,501.10
  4. Step 4: Simplify right side
    257,663.67x = 43,847,110,480.85
  5. Step 5: Solve for x
    x = 43,847,110,480.85/257,663.67
  6. Step 6: Final answer
    x = 170,171.88

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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.