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Finding the Fourth Proportional to 342,509.82, 472,758.63 and 199,297.62

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Solution

The fourth proportional to 342,509.82, 472,758.63 and 199,297.62 is: 275,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,509.82 : 472,758.63 = 199,297.62 : x
  2. Step 2: Convert to fraction form
    342,509.82/472,758.63 = 199,297.62/x
  3. Step 3: Cross multiply
    342,509.82x = 472,758.63 × 199,297.62
  4. Step 4: Simplify right side
    342,509.82x = 94,219,669,793.46
  5. Step 5: Solve for x
    x = 94,219,669,793.46/342,509.82
  6. Step 6: Final answer
    x = 275,086.04

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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.