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Finding the Fourth Proportional to 342,414, 472,532.94 and 191,511

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Solution

The fourth proportional to 342,414, 472,532.94 and 191,511 is: 264,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,414 : 472,532.94 = 191,511 : x
  2. Step 2: Convert to fraction form
    342,414/472,532.94 = 191,511/x
  3. Step 3: Cross multiply
    342,414x = 472,532.94 × 191,511
  4. Step 4: Simplify right side
    342,414x = 90,495,255,872.34
  5. Step 5: Solve for x
    x = 90,495,255,872.34/342,414
  6. Step 6: Final answer
    x = 264,286.09

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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.