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Finding the Fourth Proportional to 408,278.71, 563,443.31 and 227,009.21

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Solution

The fourth proportional to 408,278.71, 563,443.31 and 227,009.21 is: 313,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,278.71 : 563,443.31 = 227,009.21 : x
  2. Step 2: Convert to fraction form
    408,278.71/563,443.31 = 227,009.21/x
  3. Step 3: Cross multiply
    408,278.71x = 563,443.31 × 227,009.21
  4. Step 4: Simplify right side
    408,278.71x = 127,906,819,547.84
  5. Step 5: Solve for x
    x = 127,906,819,547.84/408,278.71
  6. Step 6: Final answer
    x = 313,283.10

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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.