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Finding the Fourth Proportional to 329,421.72, 454,098.78 and 201,860.76

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Solution

The fourth proportional to 329,421.72, 454,098.78 and 201,860.76 is: 278,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,421.72 : 454,098.78 = 201,860.76 : x
  2. Step 2: Convert to fraction form
    329,421.72/454,098.78 = 201,860.76/x
  3. Step 3: Cross multiply
    329,421.72x = 454,098.78 × 201,860.76
  4. Step 4: Simplify right side
    329,421.72x = 91,664,724,845.87
  5. Step 5: Solve for x
    x = 91,664,724,845.87/329,421.72
  6. Step 6: Final answer
    x = 278,259.51

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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.