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Finding the Fourth Proportional to 256,212.40, 384,376.20 and 150,977.20

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Solution

The fourth proportional to 256,212.40, 384,376.20 and 150,977.20 is: 226,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,212.40 : 384,376.20 = 150,977.20 : x
  2. Step 2: Convert to fraction form
    256,212.40/384,376.20 = 150,977.20/x
  3. Step 3: Cross multiply
    256,212.40x = 384,376.20 × 150,977.20
  4. Step 4: Simplify right side
    256,212.40x = 58,032,042,422.64
  5. Step 5: Solve for x
    x = 58,032,042,422.64/256,212.40
  6. Step 6: Final answer
    x = 226,499.74

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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.