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Finding the Fourth Proportional to 256,150.20, 384,225.30 and 171,950.70

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Solution

The fourth proportional to 256,150.20, 384,225.30 and 171,950.70 is: 257,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,150.20 : 384,225.30 = 171,950.70 : x
  2. Step 2: Convert to fraction form
    256,150.20/384,225.30 = 171,950.70/x
  3. Step 3: Cross multiply
    256,150.20x = 384,225.30 × 171,950.70
  4. Step 4: Simplify right side
    256,150.20x = 66,067,809,292.71
  5. Step 5: Solve for x
    x = 66,067,809,292.71/256,150.20
  6. Step 6: Final answer
    x = 257,926.05

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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.