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Finding the Fourth Proportional to 378,178.70, 521,886.69 and 206,096.72

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Solution

The fourth proportional to 378,178.70, 521,886.69 and 206,096.72 is: 284,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,178.70 : 521,886.69 = 206,096.72 : x
  2. Step 2: Convert to fraction form
    378,178.70/521,886.69 = 206,096.72/x
  3. Step 3: Cross multiply
    378,178.70x = 521,886.69 × 206,096.72
  4. Step 4: Simplify right side
    378,178.70x = 107,559,132,411.22
  5. Step 5: Solve for x
    x = 107,559,132,411.22/378,178.70
  6. Step 6: Final answer
    x = 284,413.52

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Why These Related Problems?

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