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Finding the Fourth Proportional to 284,100.82, 426,077.52 and 84,374.26

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Solution

The fourth proportional to 284,100.82, 426,077.52 and 84,374.26 is: 126,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,100.82 : 426,077.52 = 84,374.26 : x
  2. Step 2: Convert to fraction form
    284,100.82/426,077.52 = 84,374.26/x
  3. Step 3: Cross multiply
    284,100.82x = 426,077.52 × 84,374.26
  4. Step 4: Simplify right side
    284,100.82x = 35,949,975,452.64
  5. Step 5: Solve for x
    x = 35,949,975,452.64/284,100.82
  6. Step 6: Final answer
    x = 126,539.50

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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.