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Finding the Fourth Proportional to 256,000.20, 384,000.30 and 145,408.20

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Solution

The fourth proportional to 256,000.20, 384,000.30 and 145,408.20 is: 218,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.20 : 384,000.30 = 145,408.20 : x
  2. Step 2: Convert to fraction form
    256,000.20/384,000.30 = 145,408.20/x
  3. Step 3: Cross multiply
    256,000.20x = 384,000.30 × 145,408.20
  4. Step 4: Simplify right side
    256,000.20x = 55,836,792,422.46
  5. Step 5: Solve for x
    x = 55,836,792,422.46/256,000.20
  6. Step 6: Final answer
    x = 218,112.30

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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.