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Finding the Fourth Proportional to 256,252.20, 384,378.30 and 252,315.60

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Solution

The fourth proportional to 256,252.20, 384,378.30 and 252,315.60 is: 378,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,252.20 : 384,378.30 = 252,315.60 : x
  2. Step 2: Convert to fraction form
    256,252.20/384,378.30 = 252,315.60/x
  3. Step 3: Cross multiply
    256,252.20x = 384,378.30 × 252,315.60
  4. Step 4: Simplify right side
    256,252.20x = 96,984,641,391.48
  5. Step 5: Solve for x
    x = 96,984,641,391.48/256,252.20
  6. Step 6: Final answer
    x = 378,473.40

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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.