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Finding the Fourth Proportional to 256,104.80, 384,157.20 and 163,023.20

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Solution

The fourth proportional to 256,104.80, 384,157.20 and 163,023.20 is: 244,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,104.80 : 384,157.20 = 163,023.20 : x
  2. Step 2: Convert to fraction form
    256,104.80/384,157.20 = 163,023.20/x
  3. Step 3: Cross multiply
    256,104.80x = 384,157.20 × 163,023.20
  4. Step 4: Simplify right side
    256,104.80x = 62,626,536,047.04
  5. Step 5: Solve for x
    x = 62,626,536,047.04/256,104.80
  6. Step 6: Final answer
    x = 244,534.80

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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.