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Finding the Fourth Proportional to 257,490.38, 386,341.88 and 139,022.21

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Solution

The fourth proportional to 257,490.38, 386,341.88 and 139,022.21 is: 208,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,490.38 : 386,341.88 = 139,022.21 : x
  2. Step 2: Convert to fraction form
    257,490.38/386,341.88 = 139,022.21/x
  3. Step 3: Cross multiply
    257,490.38x = 386,341.88 × 139,022.21
  4. Step 4: Simplify right side
    257,490.38x = 53,710,099,346.33
  5. Step 5: Solve for x
    x = 53,710,099,346.33/257,490.38
  6. Step 6: Final answer
    x = 208,590.71

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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.