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Finding the Fourth Proportional to 284,724.40, 427,086.60 and 180,007.60

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Solution

The fourth proportional to 284,724.40, 427,086.60 and 180,007.60 is: 270,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,724.40 : 427,086.60 = 180,007.60 : x
  2. Step 2: Convert to fraction form
    284,724.40/427,086.60 = 180,007.60/x
  3. Step 3: Cross multiply
    284,724.40x = 427,086.60 × 180,007.60
  4. Step 4: Simplify right side
    284,724.40x = 76,878,833,858.16
  5. Step 5: Solve for x
    x = 76,878,833,858.16/284,724.40
  6. Step 6: Final answer
    x = 270,011.40

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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.