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Finding the Fourth Proportional to 342,141.92, 472,136.80 and 189,171.24

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Solution

The fourth proportional to 342,141.92, 472,136.80 and 189,171.24 is: 261,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,141.92 : 472,136.80 = 189,171.24 : x
  2. Step 2: Convert to fraction form
    342,141.92/472,136.80 = 189,171.24/x
  3. Step 3: Cross multiply
    342,141.92x = 472,136.80 × 189,171.24
  4. Step 4: Simplify right side
    342,141.92x = 89,314,703,905.63
  5. Step 5: Solve for x
    x = 89,314,703,905.63/342,141.92
  6. Step 6: Final answer
    x = 261,045.78

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1.5x scale

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.