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Finding the Fourth Proportional to 342,509.21, 472,652.92 and 189,553.77

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Solution

The fourth proportional to 342,509.21, 472,652.92 and 189,553.77 is: 261,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,509.21 : 472,652.92 = 189,553.77 : x
  2. Step 2: Convert to fraction form
    342,509.21/472,652.92 = 189,553.77/x
  3. Step 3: Cross multiply
    342,509.21x = 472,652.92 × 189,553.77
  4. Step 4: Simplify right side
    342,509.21x = 89,593,143,124.45
  5. Step 5: Solve for x
    x = 89,593,143,124.45/342,509.21
  6. Step 6: Final answer
    x = 261,578.79

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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.