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Finding the Fourth Proportional to 257,975.30, 386,999.40 and 80,463.80

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Solution

The fourth proportional to 257,975.30, 386,999.40 and 80,463.80 is: 120,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,975.30 : 386,999.40 = 80,463.80 : x
  2. Step 2: Convert to fraction form
    257,975.30/386,999.40 = 80,463.80/x
  3. Step 3: Cross multiply
    257,975.30x = 386,999.40 × 80,463.80
  4. Step 4: Simplify right side
    257,975.30x = 31,139,442,321.72
  5. Step 5: Solve for x
    x = 31,139,442,321.72/257,975.30
  6. Step 6: Final answer
    x = 120,707.07

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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.