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Finding the Fourth Proportional to 342,758.79, 472,860.45 and 206,715.33

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Solution

The fourth proportional to 342,758.79, 472,860.45 and 206,715.33 is: 285,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,758.79 : 472,860.45 = 206,715.33 : x
  2. Step 2: Convert to fraction form
    342,758.79/472,860.45 = 206,715.33/x
  3. Step 3: Cross multiply
    342,758.79x = 472,860.45 × 206,715.33
  4. Step 4: Simplify right side
    342,758.79x = 97,747,503,965.70
  5. Step 5: Solve for x
    x = 97,747,503,965.70/342,758.79
  6. Step 6: Final answer
    x = 285,178.69

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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.