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Finding the Fourth Proportional to 284,062.10, 426,020.25 and 84,336.15

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Solution

The fourth proportional to 284,062.10, 426,020.25 and 84,336.15 is: 126,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,062.10 : 426,020.25 = 84,336.15 : x
  2. Step 2: Convert to fraction form
    284,062.10/426,020.25 = 84,336.15/x
  3. Step 3: Cross multiply
    284,062.10x = 426,020.25 × 84,336.15
  4. Step 4: Simplify right side
    284,062.10x = 35,928,905,793.20
  5. Step 5: Solve for x
    x = 35,928,905,793.20/284,062.10
  6. Step 6: Final answer
    x = 126,482.58

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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.