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Finding the Fourth Proportional to 561,213.72, 774,491.94 and 306,581.31

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Solution

The fourth proportional to 561,213.72, 774,491.94 and 306,581.31 is: 423,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,213.72 : 774,491.94 = 306,581.31 : x
  2. Step 2: Convert to fraction form
    561,213.72/774,491.94 = 306,581.31/x
  3. Step 3: Cross multiply
    561,213.72x = 774,491.94 × 306,581.31
  4. Step 4: Simplify right side
    561,213.72x = 237,444,753,549.64
  5. Step 5: Solve for x
    x = 237,444,753,549.64/561,213.72
  6. Step 6: Final answer
    x = 423,091.50

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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.