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Finding the Fourth Proportional to 342,117, 472,136.04 and 191,214

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Solution

The fourth proportional to 342,117, 472,136.04 and 191,214 is: 263,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,117 : 472,136.04 = 191,214 : x
  2. Step 2: Convert to fraction form
    342,117/472,136.04 = 191,214/x
  3. Step 3: Cross multiply
    342,117x = 472,136.04 × 191,214
  4. Step 4: Simplify right side
    342,117x = 90,279,020,752.56
  5. Step 5: Solve for x
    x = 90,279,020,752.56/342,117
  6. Step 6: Final answer
    x = 263,883.47

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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.