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Finding the Fourth Proportional to 342,512.07, 472,761.74 and 199,299.87

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Solution

The fourth proportional to 342,512.07, 472,761.74 and 199,299.87 is: 275,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,512.07 : 472,761.74 = 199,299.87 : x
  2. Step 2: Convert to fraction form
    342,512.07/472,761.74 = 199,299.87/x
  3. Step 3: Cross multiply
    342,512.07x = 472,761.74 × 199,299.87
  4. Step 4: Simplify right side
    342,512.07x = 94,221,352,326.47
  5. Step 5: Solve for x
    x = 94,221,352,326.47/342,512.07
  6. Step 6: Final answer
    x = 275,089.14

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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.