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Finding the Fourth Proportional to 243,382.59, 364,354.88 and 179,780.31

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Solution

The fourth proportional to 243,382.59, 364,354.88 and 179,780.31 is: 269,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,382.59 : 364,354.88 = 179,780.31 : x
  2. Step 2: Convert to fraction form
    243,382.59/364,354.88 = 179,780.31/x
  3. Step 3: Cross multiply
    243,382.59x = 364,354.88 × 179,780.31
  4. Step 4: Simplify right side
    243,382.59x = 65,503,832,377.51
  5. Step 5: Solve for x
    x = 65,503,832,377.51/243,382.59
  6. Step 6: Final answer
    x = 269,139.35

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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.