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Finding the Fourth Proportional to 409,275.25, 564,724.87 and 227,982.67

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Solution

The fourth proportional to 409,275.25, 564,724.87 and 227,982.67 is: 314,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,275.25 : 564,724.87 = 227,982.67 : x
  2. Step 2: Convert to fraction form
    409,275.25/564,724.87 = 227,982.67/x
  3. Step 3: Cross multiply
    409,275.25x = 564,724.87 × 227,982.67
  4. Step 4: Simplify right side
    409,275.25x = 128,747,481,696.23
  5. Step 5: Solve for x
    x = 128,747,481,696.23/409,275.25
  6. Step 6: Final answer
    x = 314,574.32

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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.