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Finding the Fourth Proportional to 341,964, 471,896.28 and 198,722.88

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Solution

The fourth proportional to 341,964, 471,896.28 and 198,722.88 is: 274,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,964 : 471,896.28 = 198,722.88 : x
  2. Step 2: Convert to fraction form
    341,964/471,896.28 = 198,722.88/x
  3. Step 3: Cross multiply
    341,964x = 471,896.28 × 198,722.88
  4. Step 4: Simplify right side
    341,964x = 93,776,587,822.89
  5. Step 5: Solve for x
    x = 93,776,587,822.89/341,964
  6. Step 6: Final answer
    x = 274,229.42

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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.