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Finding the Fourth Proportional to 342,073.17, 472,187.79 and 206,114.67

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Solution

The fourth proportional to 342,073.17, 472,187.79 and 206,114.67 is: 284,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,073.17 : 472,187.79 = 206,114.67 : x
  2. Step 2: Convert to fraction form
    342,073.17/472,187.79 = 206,114.67/x
  3. Step 3: Cross multiply
    342,073.17x = 472,187.79 × 206,114.67
  4. Step 4: Simplify right side
    342,073.17x = 97,324,830,513.88
  5. Step 5: Solve for x
    x = 97,324,830,513.88/342,073.17
  6. Step 6: Final answer
    x = 284,514.66

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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.