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Finding the Fourth Proportional to 257,538.54, 386,418.80 and 139,293.12

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Solution

The fourth proportional to 257,538.54, 386,418.80 and 139,293.12 is: 208,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,538.54 : 386,418.80 = 139,293.12 : x
  2. Step 2: Convert to fraction form
    257,538.54/386,418.80 = 139,293.12/x
  3. Step 3: Cross multiply
    257,538.54x = 386,418.80 × 139,293.12
  4. Step 4: Simplify right side
    257,538.54x = 53,825,478,694.79
  5. Step 5: Solve for x
    x = 53,825,478,694.79/257,538.54
  6. Step 6: Final answer
    x = 208,999.71

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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.