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Finding the Fourth Proportional to 408,482.28, 563,706 and 227,189.88

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Solution

The fourth proportional to 408,482.28, 563,706 and 227,189.88 is: 313,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,482.28 : 563,706 = 227,189.88 : x
  2. Step 2: Convert to fraction form
    408,482.28/563,706 = 227,189.88/x
  3. Step 3: Cross multiply
    408,482.28x = 563,706 × 227,189.88
  4. Step 4: Simplify right side
    408,482.28x = 128,068,298,495.28
  5. Step 5: Solve for x
    x = 128,068,298,495.28/408,482.28
  6. Step 6: Final answer
    x = 313,522.29

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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.