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Finding the Fourth Proportional to 284,608.12, 426,849.28 and 82,160.22

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Solution

The fourth proportional to 284,608.12, 426,849.28 and 82,160.22 is: 123,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,608.12 : 426,849.28 = 82,160.22 : x
  2. Step 2: Convert to fraction form
    284,608.12/426,849.28 = 82,160.22/x
  3. Step 3: Cross multiply
    284,608.12x = 426,849.28 × 82,160.22
  4. Step 4: Simplify right side
    284,608.12x = 35,070,032,609.08
  5. Step 5: Solve for x
    x = 35,070,032,609.08/284,608.12
  6. Step 6: Final answer
    x = 123,222.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.