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Finding the Fourth Proportional to 328,474.20, 492,711.30 and 275,330.10

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Solution

The fourth proportional to 328,474.20, 492,711.30 and 275,330.10 is: 412,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,474.20 : 492,711.30 = 275,330.10 : x
  2. Step 2: Convert to fraction form
    328,474.20/492,711.30 = 275,330.10/x
  3. Step 3: Cross multiply
    328,474.20x = 492,711.30 × 275,330.10
  4. Step 4: Simplify right side
    328,474.20x = 135,658,251,500.13
  5. Step 5: Solve for x
    x = 135,658,251,500.13/328,474.20
  6. Step 6: Final answer
    x = 412,995.15

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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.