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Finding the Fourth Proportional to 306,581.74, 422,720.90 and 209,832.28

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Solution

The fourth proportional to 306,581.74, 422,720.90 and 209,832.28 is: 289,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,581.74 : 422,720.90 = 209,832.28 : x
  2. Step 2: Convert to fraction form
    306,581.74/422,720.90 = 209,832.28/x
  3. Step 3: Cross multiply
    306,581.74x = 422,720.90 × 209,832.28
  4. Step 4: Simplify right side
    306,581.74x = 88,700,490,250.65
  5. Step 5: Solve for x
    x = 88,700,490,250.65/306,581.74
  6. Step 6: Final answer
    x = 289,320.85

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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.