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Finding the Fourth Proportional to 408,928.50, 564,315.26 and 227,640.11

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Solution

The fourth proportional to 408,928.50, 564,315.26 and 227,640.11 is: 314,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,928.50 : 564,315.26 = 227,640.11 : x
  2. Step 2: Convert to fraction form
    408,928.50/564,315.26 = 227,640.11/x
  3. Step 3: Cross multiply
    408,928.50x = 564,315.26 × 227,640.11
  4. Step 4: Simplify right side
    408,928.50x = 128,460,783,901.30
  5. Step 5: Solve for x
    x = 128,460,783,901.30/408,928.50
  6. Step 6: Final answer
    x = 314,139.96

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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.