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Finding the Fourth Proportional to 257,757.66, 386,789.58 and 139,426.38

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Solution

The fourth proportional to 257,757.66, 386,789.58 and 139,426.38 is: 209,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,757.66 : 386,789.58 = 139,426.38 : x
  2. Step 2: Convert to fraction form
    257,757.66/386,789.58 = 139,426.38/x
  3. Step 3: Cross multiply
    257,757.66x = 386,789.58 × 139,426.38
  4. Step 4: Simplify right side
    257,757.66x = 53,928,670,961.12
  5. Step 5: Solve for x
    x = 53,928,670,961.12/257,757.66
  6. Step 6: Final answer
    x = 209,222.38

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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.