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Finding the Fourth Proportional to 342,159.25, 472,138.56 and 189,176.78

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Solution

The fourth proportional to 342,159.25, 472,138.56 and 189,176.78 is: 261,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,159.25 : 472,138.56 = 189,176.78 : x
  2. Step 2: Convert to fraction form
    342,159.25/472,138.56 = 189,176.78/x
  3. Step 3: Cross multiply
    342,159.25x = 472,138.56 × 189,176.78
  4. Step 4: Simplify right side
    342,159.25x = 89,317,652,494.64
  5. Step 5: Solve for x
    x = 89,317,652,494.64/342,159.25
  6. Step 6: Final answer
    x = 261,041.17

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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.