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Finding the Fourth Proportional to 360,842.91, 541,384.57 and 120,980.55

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Solution

The fourth proportional to 360,842.91, 541,384.57 and 120,980.55 is: 181,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,842.91 : 541,384.57 = 120,980.55 : x
  2. Step 2: Convert to fraction form
    360,842.91/541,384.57 = 120,980.55/x
  3. Step 3: Cross multiply
    360,842.91x = 541,384.57 × 120,980.55
  4. Step 4: Simplify right side
    360,842.91x = 65,497,000,333.19
  5. Step 5: Solve for x
    x = 65,497,000,333.19/360,842.91
  6. Step 6: Final answer
    x = 181,511.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.