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Finding the Fourth Proportional to 300,820.62, 415,132.08 and 164,863.10

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Solution

The fourth proportional to 300,820.62, 415,132.08 and 164,863.10 is: 227,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,820.62 : 415,132.08 = 164,863.10 : x
  2. Step 2: Convert to fraction form
    300,820.62/415,132.08 = 164,863.10/x
  3. Step 3: Cross multiply
    300,820.62x = 415,132.08 × 164,863.10
  4. Step 4: Simplify right side
    300,820.62x = 68,439,961,618.25
  5. Step 5: Solve for x
    x = 68,439,961,618.25/300,820.62
  6. Step 6: Final answer
    x = 227,510.87

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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.