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Finding the Fourth Proportional to 408,648.78, 563,921.12 and 224,870.18

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Solution

The fourth proportional to 408,648.78, 563,921.12 and 224,870.18 is: 310,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,648.78 : 563,921.12 = 224,870.18 : x
  2. Step 2: Convert to fraction form
    408,648.78/563,921.12 = 224,870.18/x
  3. Step 3: Cross multiply
    408,648.78x = 563,921.12 × 224,870.18
  4. Step 4: Simplify right side
    408,648.78x = 126,809,041,502.77
  5. Step 5: Solve for x
    x = 126,809,041,502.77/408,648.78
  6. Step 6: Final answer
    x = 310,313.03

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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.