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Finding the Fourth Proportional to 342,123.12, 472,144.32 and 191,220

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Solution

The fourth proportional to 342,123.12, 472,144.32 and 191,220 is: 263,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,123.12 : 472,144.32 = 191,220 : x
  2. Step 2: Convert to fraction form
    342,123.12/472,144.32 = 191,220/x
  3. Step 3: Cross multiply
    342,123.12x = 472,144.32 × 191,220
  4. Step 4: Simplify right side
    342,123.12x = 90,283,436,870.40
  5. Step 5: Solve for x
    x = 90,283,436,870.40/342,123.12
  6. Step 6: Final answer
    x = 263,891.66

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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.