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Finding the Fourth Proportional to 409,856.15, 565,600.37 and 228,568.28

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Solution

The fourth proportional to 409,856.15, 565,600.37 and 228,568.28 is: 315,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856.15 : 565,600.37 = 228,568.28 : x
  2. Step 2: Convert to fraction form
    409,856.15/565,600.37 = 228,568.28/x
  3. Step 3: Cross multiply
    409,856.15x = 565,600.37 × 228,568.28
  4. Step 4: Simplify right side
    409,856.15x = 129,278,299,767.42
  5. Step 5: Solve for x
    x = 129,278,299,767.42/409,856.15
  6. Step 6: Final answer
    x = 315,423.60

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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.