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Finding the Fourth Proportional to 257,484.65, 386,333.67 and 139,016.75

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Solution

The fourth proportional to 257,484.65, 386,333.67 and 139,016.75 is: 208,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,484.65 : 386,333.67 = 139,016.75 : x
  2. Step 2: Convert to fraction form
    257,484.65/386,333.67 = 139,016.75/x
  3. Step 3: Cross multiply
    257,484.65x = 386,333.67 × 139,016.75
  4. Step 4: Simplify right side
    257,484.65x = 53,706,851,218.97
  5. Step 5: Solve for x
    x = 53,706,851,218.97/257,484.65
  6. Step 6: Final answer
    x = 208,582.73

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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.