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Finding the Fourth Proportional to 257,609.16, 386,524.98 and 139,363.80

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Solution

The fourth proportional to 257,609.16, 386,524.98 and 139,363.80 is: 209,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,609.16 : 386,524.98 = 139,363.80 : x
  2. Step 2: Convert to fraction form
    257,609.16/386,524.98 = 139,363.80/x
  3. Step 3: Cross multiply
    257,609.16x = 386,524.98 × 139,363.80
  4. Step 4: Simplify right side
    257,609.16x = 53,867,590,007.72
  5. Step 5: Solve for x
    x = 53,867,590,007.72/257,609.16
  6. Step 6: Final answer
    x = 209,105.88

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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.