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Finding the Fourth Proportional to 256,255, 384,253.46 and 85,416.24

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Solution

The fourth proportional to 256,255, 384,253.46 and 85,416.24 is: 128,081.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,255 : 384,253.46 = 85,416.24 : x
  2. Step 2: Convert to fraction form
    256,255/384,253.46 = 85,416.24/x
  3. Step 3: Cross multiply
    256,255x = 384,253.46 × 85,416.24
  4. Step 4: Simplify right side
    256,255x = 32,821,485,760.19
  5. Step 5: Solve for x
    x = 32,821,485,760.19/256,255
  6. Step 6: Final answer
    x = 128,081.35

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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.