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Finding the Fourth Proportional to 408,378.76, 563,513.70 and 227,045.16

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Solution

The fourth proportional to 408,378.76, 563,513.70 and 227,045.16 is: 313,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,378.76 : 563,513.70 = 227,045.16 : x
  2. Step 2: Convert to fraction form
    408,378.76/563,513.70 = 227,045.16/x
  3. Step 3: Cross multiply
    408,378.76x = 563,513.70 × 227,045.16
  4. Step 4: Simplify right side
    408,378.76x = 127,943,058,178.69
  5. Step 5: Solve for x
    x = 127,943,058,178.69/408,378.76
  6. Step 6: Final answer
    x = 313,295.08

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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.