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Finding the Fourth Proportional to 298,487.23, 447,728.11 and 120,952.04

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Solution

The fourth proportional to 298,487.23, 447,728.11 and 120,952.04 is: 181,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,487.23 : 447,728.11 = 120,952.04 : x
  2. Step 2: Convert to fraction form
    298,487.23/447,728.11 = 120,952.04/x
  3. Step 3: Cross multiply
    298,487.23x = 447,728.11 × 120,952.04
  4. Step 4: Simplify right side
    298,487.23x = 54,153,625,728.82
  5. Step 5: Solve for x
    x = 54,153,625,728.82/298,487.23
  6. Step 6: Final answer
    x = 181,426.94

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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.