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Finding the Fourth Proportional to 408,532.68, 563,809.16 and 227,278.76

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Solution

The fourth proportional to 408,532.68, 563,809.16 and 227,278.76 is: 313,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532.68 : 563,809.16 = 227,278.76 : x
  2. Step 2: Convert to fraction form
    408,532.68/563,809.16 = 227,278.76/x
  3. Step 3: Cross multiply
    408,532.68x = 563,809.16 × 227,278.76
  4. Step 4: Simplify right side
    408,532.68x = 128,141,846,761.44
  5. Step 5: Solve for x
    x = 128,141,846,761.44/408,532.68
  6. Step 6: Final answer
    x = 313,663.64

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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.