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Finding the Fourth Proportional to 409,270.92, 564,718.92 and 227,978.34

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Solution

The fourth proportional to 409,270.92, 564,718.92 and 227,978.34 is: 314,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,270.92 : 564,718.92 = 227,978.34 : x
  2. Step 2: Convert to fraction form
    409,270.92/564,718.92 = 227,978.34/x
  3. Step 3: Cross multiply
    409,270.92x = 564,718.92 × 227,978.34
  4. Step 4: Simplify right side
    409,270.92x = 128,743,681,948.19
  5. Step 5: Solve for x
    x = 128,743,681,948.19/409,270.92
  6. Step 6: Final answer
    x = 314,568.36

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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.