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Finding the Fourth Proportional to 561,042.30, 774,244.53 and 306,400.98

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Solution

The fourth proportional to 561,042.30, 774,244.53 and 306,400.98 is: 422,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,042.30 : 774,244.53 = 306,400.98 : x
  2. Step 2: Convert to fraction form
    561,042.30/774,244.53 = 306,400.98/x
  3. Step 3: Cross multiply
    561,042.30x = 774,244.53 × 306,400.98
  4. Step 4: Simplify right side
    561,042.30x = 237,229,282,751.64
  5. Step 5: Solve for x
    x = 237,229,282,751.64/561,042.30
  6. Step 6: Final answer
    x = 422,836.71

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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.