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Finding the Fourth Proportional to 304,801.97, 420,535.71 and 197,201.57

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Solution

The fourth proportional to 304,801.97, 420,535.71 and 197,201.57 is: 272,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,801.97 : 420,535.71 = 197,201.57 : x
  2. Step 2: Convert to fraction form
    304,801.97/420,535.71 = 197,201.57/x
  3. Step 3: Cross multiply
    304,801.97x = 420,535.71 × 197,201.57
  4. Step 4: Simplify right side
    304,801.97x = 82,930,300,150.39
  5. Step 5: Solve for x
    x = 82,930,300,150.39/304,801.97
  6. Step 6: Final answer
    x = 272,079.28

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1.5x scale

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.