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Finding the Fourth Proportional to 342,314.12, 472,357.10 and 189,328

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Solution

The fourth proportional to 342,314.12, 472,357.10 and 189,328 is: 261,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,314.12 : 472,357.10 = 189,328 : x
  2. Step 2: Convert to fraction form
    342,314.12/472,357.10 = 189,328/x
  3. Step 3: Cross multiply
    342,314.12x = 472,357.10 × 189,328
  4. Step 4: Simplify right side
    342,314.12x = 89,430,425,028.80
  5. Step 5: Solve for x
    x = 89,430,425,028.80/342,314.12
  6. Step 6: Final answer
    x = 261,252.52

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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.