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Finding the Fourth Proportional to 409,559.20, 565,194.32 and 228,282.64

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Solution

The fourth proportional to 409,559.20, 565,194.32 and 228,282.64 is: 315,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,559.20 : 565,194.32 = 228,282.64 : x
  2. Step 2: Convert to fraction form
    409,559.20/565,194.32 = 228,282.64/x
  3. Step 3: Cross multiply
    409,559.20x = 565,194.32 × 228,282.64
  4. Step 4: Simplify right side
    409,559.20x = 129,024,049,784.27
  5. Step 5: Solve for x
    x = 129,024,049,784.27/409,559.20
  6. Step 6: Final answer
    x = 315,031.50

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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.