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Finding the Fourth Proportional to 382,049.45, 527,218.67 and 212,284.01

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Solution

The fourth proportional to 382,049.45, 527,218.67 and 212,284.01 is: 292,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,049.45 : 527,218.67 = 212,284.01 : x
  2. Step 2: Convert to fraction form
    382,049.45/527,218.67 = 212,284.01/x
  3. Step 3: Cross multiply
    382,049.45x = 527,218.67 × 212,284.01
  4. Step 4: Simplify right side
    382,049.45x = 111,920,092,353.05
  5. Step 5: Solve for x
    x = 111,920,092,353.05/382,049.45
  6. Step 6: Final answer
    x = 292,946.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.