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Finding the Fourth Proportional to 410,016.29, 565,820.90 and 228,728.07

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Solution

The fourth proportional to 410,016.29, 565,820.90 and 228,728.07 is: 315,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,016.29 : 565,820.90 = 228,728.07 : x
  2. Step 2: Convert to fraction form
    410,016.29/565,820.90 = 228,728.07/x
  3. Step 3: Cross multiply
    410,016.29x = 565,820.90 × 228,728.07
  4. Step 4: Simplify right side
    410,016.29x = 129,419,123,423.35
  5. Step 5: Solve for x
    x = 129,419,123,423.35/410,016.29
  6. Step 6: Final answer
    x = 315,643.86

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1.5x scale

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.