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Finding the Fourth Proportional to 201,663.84, 278,415.90 and 179,243.76

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Solution

The fourth proportional to 201,663.84, 278,415.90 and 179,243.76 is: 247,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663.84 : 278,415.90 = 179,243.76 : x
  2. Step 2: Convert to fraction form
    201,663.84/278,415.90 = 179,243.76/x
  3. Step 3: Cross multiply
    201,663.84x = 278,415.90 × 179,243.76
  4. Step 4: Simplify right side
    201,663.84x = 49,904,312,759.78
  5. Step 5: Solve for x
    x = 49,904,312,759.78/201,663.84
  6. Step 6: Final answer
    x = 247,462.87

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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.