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Finding the Fourth Proportional to 561,348.42, 774,651.78 and 306,694.14

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Solution

The fourth proportional to 561,348.42, 774,651.78 and 306,694.14 is: 423,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,348.42 : 774,651.78 = 306,694.14 : x
  2. Step 2: Convert to fraction form
    561,348.42/774,651.78 = 306,694.14/x
  3. Step 3: Cross multiply
    561,348.42x = 774,651.78 × 306,694.14
  4. Step 4: Simplify right side
    561,348.42x = 237,581,161,466.57
  5. Step 5: Solve for x
    x = 237,581,161,466.57/561,348.42
  6. Step 6: Final answer
    x = 423,232.97

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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.