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Finding the Fourth Proportional to 315,495.57, 472,764.49 and 231,311.77

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Solution

The fourth proportional to 315,495.57, 472,764.49 and 231,311.77 is: 346,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,495.57 : 472,764.49 = 231,311.77 : x
  2. Step 2: Convert to fraction form
    315,495.57/472,764.49 = 231,311.77/x
  3. Step 3: Cross multiply
    315,495.57x = 472,764.49 × 231,311.77
  4. Step 4: Simplify right side
    315,495.57x = 109,355,990,975.05
  5. Step 5: Solve for x
    x = 109,355,990,975.05/315,495.57
  6. Step 6: Final answer
    x = 346,616.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.