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Finding the Fourth Proportional to 392,442.98, 541,564.41 and 220,362.30

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Solution

The fourth proportional to 392,442.98, 541,564.41 and 220,362.30 is: 304,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,442.98 : 541,564.41 = 220,362.30 : x
  2. Step 2: Convert to fraction form
    392,442.98/541,564.41 = 220,362.30/x
  3. Step 3: Cross multiply
    392,442.98x = 541,564.41 × 220,362.30
  4. Step 4: Simplify right side
    392,442.98x = 119,340,376,429.65
  5. Step 5: Solve for x
    x = 119,340,376,429.65/392,442.98
  6. Step 6: Final answer
    x = 304,096.10

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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.