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Finding the Fourth Proportional to 243,502.20, 365,253.30 and 199,215.45

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Solution

The fourth proportional to 243,502.20, 365,253.30 and 199,215.45 is: 298,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,502.20 : 365,253.30 = 199,215.45 : x
  2. Step 2: Convert to fraction form
    243,502.20/365,253.30 = 199,215.45/x
  3. Step 3: Cross multiply
    243,502.20x = 365,253.30 × 199,215.45
  4. Step 4: Simplify right side
    243,502.20x = 72,764,100,523.49
  5. Step 5: Solve for x
    x = 72,764,100,523.49/243,502.20
  6. Step 6: Final answer
    x = 298,823.18

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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.