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Finding the Fourth Proportional to 256,321.80, 384,482.70 and 149,596.20

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Solution

The fourth proportional to 256,321.80, 384,482.70 and 149,596.20 is: 224,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,321.80 : 384,482.70 = 149,596.20 : x
  2. Step 2: Convert to fraction form
    256,321.80/384,482.70 = 149,596.20/x
  3. Step 3: Cross multiply
    256,321.80x = 384,482.70 × 149,596.20
  4. Step 4: Simplify right side
    256,321.80x = 57,517,150,885.74
  5. Step 5: Solve for x
    x = 57,517,150,885.74/256,321.80
  6. Step 6: Final answer
    x = 224,394.30

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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.