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Finding the Fourth Proportional to 243,035.80, 364,116.30 and 208,043.80

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Solution

The fourth proportional to 243,035.80, 364,116.30 and 208,043.80 is: 311,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,035.80 : 364,116.30 = 208,043.80 : x
  2. Step 2: Convert to fraction form
    243,035.80/364,116.30 = 208,043.80/x
  3. Step 3: Cross multiply
    243,035.80x = 364,116.30 × 208,043.80
  4. Step 4: Simplify right side
    243,035.80x = 75,752,138,693.94
  5. Step 5: Solve for x
    x = 75,752,138,693.94/243,035.80
  6. Step 6: Final answer
    x = 311,691.28

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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.