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Finding the Fourth Proportional to 342,101.60, 472,123.32 and 198,861.20

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Solution

The fourth proportional to 342,101.60, 472,123.32 and 198,861.20 is: 274,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,101.60 : 472,123.32 = 198,861.20 : x
  2. Step 2: Convert to fraction form
    342,101.60/472,123.32 = 198,861.20/x
  3. Step 3: Cross multiply
    342,101.60x = 472,123.32 × 198,861.20
  4. Step 4: Simplify right side
    342,101.60x = 93,887,009,963.18
  5. Step 5: Solve for x
    x = 93,887,009,963.18/342,101.60
  6. Step 6: Final answer
    x = 274,441.89

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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.