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Finding the Fourth Proportional to 408,510.66, 563,736.56 and 227,218.67

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Solution

The fourth proportional to 408,510.66, 563,736.56 and 227,218.67 is: 313,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,510.66 : 563,736.56 = 227,218.67 : x
  2. Step 2: Convert to fraction form
    408,510.66/563,736.56 = 227,218.67/x
  3. Step 3: Cross multiply
    408,510.66x = 563,736.56 × 227,218.67
  4. Step 4: Simplify right side
    408,510.66x = 128,091,467,438.80
  5. Step 5: Solve for x
    x = 128,091,467,438.80/408,510.66
  6. Step 6: Final answer
    x = 313,557.22

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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.