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Finding the Fourth Proportional to 229,780.80, 343,990.80 and 170,877.60

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Solution

The fourth proportional to 229,780.80, 343,990.80 and 170,877.60 is: 255,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,780.80 : 343,990.80 = 170,877.60 : x
  2. Step 2: Convert to fraction form
    229,780.80/343,990.80 = 170,877.60/x
  3. Step 3: Cross multiply
    229,780.80x = 343,990.80 × 170,877.60
  4. Step 4: Simplify right side
    229,780.80x = 58,780,322,326.08
  5. Step 5: Solve for x
    x = 58,780,322,326.08/229,780.80
  6. Step 6: Final answer
    x = 255,810.42

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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.