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Finding the Fourth Proportional to 256,000.20, 384,437.70 and 167,645.40

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Solution

The fourth proportional to 256,000.20, 384,437.70 and 167,645.40 is: 251,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.20 : 384,437.70 = 167,645.40 : x
  2. Step 2: Convert to fraction form
    256,000.20/384,437.70 = 167,645.40/x
  3. Step 3: Cross multiply
    256,000.20x = 384,437.70 × 167,645.40
  4. Step 4: Simplify right side
    256,000.20x = 64,449,211,991.58
  5. Step 5: Solve for x
    x = 64,449,211,991.58/256,000.20
  6. Step 6: Final answer
    x = 251,754.54

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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.