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Finding the Fourth Proportional to 299,081.16, 412,520.04 and 289,195.92

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Solution

The fourth proportional to 299,081.16, 412,520.04 and 289,195.92 is: 398,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,081.16 : 412,520.04 = 289,195.92 : x
  2. Step 2: Convert to fraction form
    299,081.16/412,520.04 = 289,195.92/x
  3. Step 3: Cross multiply
    299,081.16x = 412,520.04 × 289,195.92
  4. Step 4: Simplify right side
    299,081.16x = 119,299,112,486.24
  5. Step 5: Solve for x
    x = 119,299,112,486.24/299,081.16
  6. Step 6: Final answer
    x = 398,885.41

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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.