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Finding the Fourth Proportional to 342,469.05, 472,739.78 and 306,596.78

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Solution

The fourth proportional to 342,469.05, 472,739.78 and 306,596.78 is: 423,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,469.05 : 472,739.78 = 306,596.78 : x
  2. Step 2: Convert to fraction form
    342,469.05/472,739.78 = 306,596.78/x
  3. Step 3: Cross multiply
    342,469.05x = 472,739.78 × 306,596.78
  4. Step 4: Simplify right side
    342,469.05x = 144,940,492,776.87
  5. Step 5: Solve for x
    x = 144,940,492,776.87/342,469.05
  6. Step 6: Final answer
    x = 423,222.17

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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.