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Finding the Fourth Proportional to 329,315.28, 454,265.58 and 198,402

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Solution

The fourth proportional to 329,315.28, 454,265.58 and 198,402 is: 273,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,315.28 : 454,265.58 = 198,402 : x
  2. Step 2: Convert to fraction form
    329,315.28/454,265.58 = 198,402/x
  3. Step 3: Cross multiply
    329,315.28x = 454,265.58 × 198,402
  4. Step 4: Simplify right side
    329,315.28x = 90,127,199,603.16
  5. Step 5: Solve for x
    x = 90,127,199,603.16/329,315.28
  6. Step 6: Final answer
    x = 273,680.59

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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.