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Finding the Fourth Proportional to 290,576.73, 401,003.29 and 159,752.78

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Solution

The fourth proportional to 290,576.73, 401,003.29 and 159,752.78 is: 220,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,576.73 : 401,003.29 = 159,752.78 : x
  2. Step 2: Convert to fraction form
    290,576.73/401,003.29 = 159,752.78/x
  3. Step 3: Cross multiply
    290,576.73x = 401,003.29 × 159,752.78
  4. Step 4: Simplify right side
    290,576.73x = 64,061,390,366.65
  5. Step 5: Solve for x
    x = 64,061,390,366.65/290,576.73
  6. Step 6: Final answer
    x = 220,462.91

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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.