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Finding the Fourth Proportional to 342,102.60, 472,124.70 and 198,862.20

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Solution

The fourth proportional to 342,102.60, 472,124.70 and 198,862.20 is: 274,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,102.60 : 472,124.70 = 198,862.20 : x
  2. Step 2: Convert to fraction form
    342,102.60/472,124.70 = 198,862.20/x
  3. Step 3: Cross multiply
    342,102.60x = 472,124.70 × 198,862.20
  4. Step 4: Simplify right side
    342,102.60x = 93,887,756,516.34
  5. Step 5: Solve for x
    x = 93,887,756,516.34/342,102.60
  6. Step 6: Final answer
    x = 274,443.27

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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.