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Finding the Fourth Proportional to 408,510.76, 563,736.75 and 227,218.79

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Solution

The fourth proportional to 408,510.76, 563,736.75 and 227,218.79 is: 313,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,510.76 : 563,736.75 = 227,218.79 : x
  2. Step 2: Convert to fraction form
    408,510.76/563,736.75 = 227,218.79/x
  3. Step 3: Cross multiply
    408,510.76x = 563,736.75 × 227,218.79
  4. Step 4: Simplify right side
    408,510.76x = 128,091,582,213.53
  5. Step 5: Solve for x
    x = 128,091,582,213.53/408,510.76
  6. Step 6: Final answer
    x = 313,557.43

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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.