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Finding the Fourth Proportional to 329,307.52, 454,465.28 and 201,965.76

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Solution

The fourth proportional to 329,307.52, 454,465.28 and 201,965.76 is: 278,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,307.52 : 454,465.28 = 201,965.76 : x
  2. Step 2: Convert to fraction form
    329,307.52/454,465.28 = 201,965.76/x
  3. Step 3: Cross multiply
    329,307.52x = 454,465.28 × 201,965.76
  4. Step 4: Simplify right side
    329,307.52x = 91,786,425,668.81
  5. Step 5: Solve for x
    x = 91,786,425,668.81/329,307.52
  6. Step 6: Final answer
    x = 278,725.57

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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.