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Finding the Fourth Proportional to 229,240.20, 343,860.30 and 189,841.80

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Solution

The fourth proportional to 229,240.20, 343,860.30 and 189,841.80 is: 284,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,240.20 : 343,860.30 = 189,841.80 : x
  2. Step 2: Convert to fraction form
    229,240.20/343,860.30 = 189,841.80/x
  3. Step 3: Cross multiply
    229,240.20x = 343,860.30 × 189,841.80
  4. Step 4: Simplify right side
    229,240.20x = 65,279,058,300.54
  5. Step 5: Solve for x
    x = 65,279,058,300.54/229,240.20
  6. Step 6: Final answer
    x = 284,762.70

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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.