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Finding the Fourth Proportional to 301,397.82, 415,949.78 and 199,246.13

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Solution

The fourth proportional to 301,397.82, 415,949.78 and 199,246.13 is: 274,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,397.82 : 415,949.78 = 199,246.13 : x
  2. Step 2: Convert to fraction form
    301,397.82/415,949.78 = 199,246.13/x
  3. Step 3: Cross multiply
    301,397.82x = 415,949.78 × 199,246.13
  4. Step 4: Simplify right side
    301,397.82x = 82,876,381,859.60
  5. Step 5: Solve for x
    x = 82,876,381,859.60/301,397.82
  6. Step 6: Final answer
    x = 274,973.40

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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.