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Finding the Fourth Proportional to 409,449.60, 565,082.08 and 228,191.04

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Solution

The fourth proportional to 409,449.60, 565,082.08 and 228,191.04 is: 314,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,449.60 : 565,082.08 = 228,191.04 : x
  2. Step 2: Convert to fraction form
    409,449.60/565,082.08 = 228,191.04/x
  3. Step 3: Cross multiply
    409,449.60x = 565,082.08 × 228,191.04
  4. Step 4: Simplify right side
    409,449.60x = 128,946,667,520.56
  5. Step 5: Solve for x
    x = 128,946,667,520.56/409,449.60
  6. Step 6: Final answer
    x = 314,926.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.