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Finding the Fourth Proportional to 408,503.40, 563,721.16 and 227,210.20

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Solution

The fourth proportional to 408,503.40, 563,721.16 and 227,210.20 is: 313,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,503.40 : 563,721.16 = 227,210.20 : x
  2. Step 2: Convert to fraction form
    408,503.40/563,721.16 = 227,210.20/x
  3. Step 3: Cross multiply
    408,503.40x = 563,721.16 × 227,210.20
  4. Step 4: Simplify right side
    408,503.40x = 128,083,197,507.83
  5. Step 5: Solve for x
    x = 128,083,197,507.83/408,503.40
  6. Step 6: Final answer
    x = 313,542.55

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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.