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Finding the Fourth Proportional to 395,457.80, 593,129.10 and 114,945.80

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Solution

The fourth proportional to 395,457.80, 593,129.10 and 114,945.80 is: 172,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,457.80 : 593,129.10 = 114,945.80 : x
  2. Step 2: Convert to fraction form
    395,457.80/593,129.10 = 114,945.80/x
  3. Step 3: Cross multiply
    395,457.80x = 593,129.10 × 114,945.80
  4. Step 4: Simplify right side
    395,457.80x = 68,177,698,902.78
  5. Step 5: Solve for x
    x = 68,177,698,902.78/395,457.80
  6. Step 6: Final answer
    x = 172,401.96

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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.