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Finding the Fourth Proportional to 228,217.49, 314,834.04 and 147,671

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Solution

The fourth proportional to 228,217.49, 314,834.04 and 147,671 is: 203,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,217.49 : 314,834.04 = 147,671 : x
  2. Step 2: Convert to fraction form
    228,217.49/314,834.04 = 147,671/x
  3. Step 3: Cross multiply
    228,217.49x = 314,834.04 × 147,671
  4. Step 4: Simplify right side
    228,217.49x = 46,491,857,520.84
  5. Step 5: Solve for x
    x = 46,491,857,520.84/228,217.49
  6. Step 6: Final answer
    x = 203,717.33

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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.