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Finding the Fourth Proportional to 256,236.34, 384,401.15 and 128,219.49

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Solution

The fourth proportional to 256,236.34, 384,401.15 and 128,219.49 is: 192,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,236.34 : 384,401.15 = 128,219.49 : x
  2. Step 2: Convert to fraction form
    256,236.34/384,401.15 = 128,219.49/x
  3. Step 3: Cross multiply
    256,236.34x = 384,401.15 × 128,219.49
  4. Step 4: Simplify right side
    256,236.34x = 49,287,720,689.64
  5. Step 5: Solve for x
    x = 49,287,720,689.64/256,236.34
  6. Step 6: Final answer
    x = 192,352.58

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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.