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Finding the Fourth Proportional to 543,862.89, 815,670.95 and 206,783.69

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Solution

The fourth proportional to 543,862.89, 815,670.95 and 206,783.69 is: 310,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,862.89 : 815,670.95 = 206,783.69 : x
  2. Step 2: Convert to fraction form
    543,862.89/815,670.95 = 206,783.69/x
  3. Step 3: Cross multiply
    543,862.89x = 815,670.95 × 206,783.69
  4. Step 4: Simplify right side
    543,862.89x = 168,667,443,754.53
  5. Step 5: Solve for x
    x = 168,667,443,754.53/543,862.89
  6. Step 6: Final answer
    x = 310,128.61

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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.