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Finding the Fourth Proportional to 342,103.60, 472,126.08 and 198,863.20

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Solution

The fourth proportional to 342,103.60, 472,126.08 and 198,863.20 is: 274,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103.60 : 472,126.08 = 198,863.20 : x
  2. Step 2: Convert to fraction form
    342,103.60/472,126.08 = 198,863.20/x
  3. Step 3: Cross multiply
    342,103.60x = 472,126.08 × 198,863.20
  4. Step 4: Simplify right side
    342,103.60x = 93,888,503,072.26
  5. Step 5: Solve for x
    x = 93,888,503,072.26/342,103.60
  6. Step 6: Final answer
    x = 274,444.65

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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.