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Finding the Fourth Proportional to 328,127.96, 491,805.04 and 148,002.54

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Solution

The fourth proportional to 328,127.96, 491,805.04 and 148,002.54 is: 221,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,127.96 : 491,805.04 = 148,002.54 : x
  2. Step 2: Convert to fraction form
    328,127.96/491,805.04 = 148,002.54/x
  3. Step 3: Cross multiply
    328,127.96x = 491,805.04 × 148,002.54
  4. Step 4: Simplify right side
    328,127.96x = 72,788,396,350.69
  5. Step 5: Solve for x
    x = 72,788,396,350.69/328,127.96
  6. Step 6: Final answer
    x = 221,829.30

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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.