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Finding the Fourth Proportional to 243,503.20, 365,254.80 and 199,216.45

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Solution

The fourth proportional to 243,503.20, 365,254.80 and 199,216.45 is: 298,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,503.20 : 365,254.80 = 199,216.45 : x
  2. Step 2: Convert to fraction form
    243,503.20/365,254.80 = 199,216.45/x
  3. Step 3: Cross multiply
    243,503.20x = 365,254.80 × 199,216.45
  4. Step 4: Simplify right side
    243,503.20x = 72,764,764,601.46
  5. Step 5: Solve for x
    x = 72,764,764,601.46/243,503.20
  6. Step 6: Final answer
    x = 298,824.68

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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.