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Finding the Fourth Proportional to 385,521.30, 577,751.42 and 328,299.12

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Solution

The fourth proportional to 385,521.30, 577,751.42 and 328,299.12 is: 491,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,521.30 : 577,751.42 = 328,299.12 : x
  2. Step 2: Convert to fraction form
    385,521.30/577,751.42 = 328,299.12/x
  3. Step 3: Cross multiply
    385,521.30x = 577,751.42 × 328,299.12
  4. Step 4: Simplify right side
    385,521.30x = 189,675,282,764.75
  5. Step 5: Solve for x
    x = 189,675,282,764.75/385,521.30
  6. Step 6: Final answer
    x = 491,996.90

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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.