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Finding the Fourth Proportional to 284,078.80, 426,017.40 and 126,024.40

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Solution

The fourth proportional to 284,078.80, 426,017.40 and 126,024.40 is: 188,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,078.80 : 426,017.40 = 126,024.40 : x
  2. Step 2: Convert to fraction form
    284,078.80/426,017.40 = 126,024.40/x
  3. Step 3: Cross multiply
    284,078.80x = 426,017.40 × 126,024.40
  4. Step 4: Simplify right side
    284,078.80x = 53,688,587,224.56
  5. Step 5: Solve for x
    x = 53,688,587,224.56/284,078.80
  6. Step 6: Final answer
    x = 188,991.88

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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.