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Finding the Fourth Proportional to 408,690.32, 563,995.42 and 227,409.89

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Solution

The fourth proportional to 408,690.32, 563,995.42 and 227,409.89 is: 313,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,690.32 : 563,995.42 = 227,409.89 : x
  2. Step 2: Convert to fraction form
    408,690.32/563,995.42 = 227,409.89/x
  3. Step 3: Cross multiply
    408,690.32x = 563,995.42 × 227,409.89
  4. Step 4: Simplify right side
    408,690.32x = 128,258,133,034.20
  5. Step 5: Solve for x
    x = 128,258,133,034.20/408,690.32
  6. Step 6: Final answer
    x = 313,827.19

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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.