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Finding the Fourth Proportional to 342,072.78, 472,061.16 and 191,169.78

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Solution

The fourth proportional to 342,072.78, 472,061.16 and 191,169.78 is: 263,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072.78 : 472,061.16 = 191,169.78 : x
  2. Step 2: Convert to fraction form
    342,072.78/472,061.16 = 191,169.78/x
  3. Step 3: Cross multiply
    342,072.78x = 472,061.16 × 191,169.78
  4. Step 4: Simplify right side
    342,072.78x = 90,243,828,103.74
  5. Step 5: Solve for x
    x = 90,243,828,103.74/342,072.78
  6. Step 6: Final answer
    x = 263,814.70

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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.