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Finding the Fourth Proportional to 328,478.20, 492,717.30 and 275,334.10

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Solution

The fourth proportional to 328,478.20, 492,717.30 and 275,334.10 is: 413,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,478.20 : 492,717.30 = 275,334.10 : x
  2. Step 2: Convert to fraction form
    328,478.20/492,717.30 = 275,334.10/x
  3. Step 3: Cross multiply
    328,478.20x = 492,717.30 × 275,334.10
  4. Step 4: Simplify right side
    328,478.20x = 135,661,874,349.93
  5. Step 5: Solve for x
    x = 135,661,874,349.93/328,478.20
  6. Step 6: Final answer
    x = 413,001.15

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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.