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Finding the Fourth Proportional to 409,662.56, 565,336.68 and 228,386

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Solution

The fourth proportional to 409,662.56, 565,336.68 and 228,386 is: 315,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,662.56 : 565,336.68 = 228,386 : x
  2. Step 2: Convert to fraction form
    409,662.56/565,336.68 = 228,386/x
  3. Step 3: Cross multiply
    409,662.56x = 565,336.68 × 228,386
  4. Step 4: Simplify right side
    409,662.56x = 129,114,982,998.48
  5. Step 5: Solve for x
    x = 129,114,982,998.48/409,662.56
  6. Step 6: Final answer
    x = 315,173.99

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Why These Related Problems?

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