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Finding the Fourth Proportional to 256,219.20, 354,391.20 and 226,411.20

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Solution

The fourth proportional to 256,219.20, 354,391.20 and 226,411.20 is: 313,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,219.20 : 354,391.20 = 226,411.20 : x
  2. Step 2: Convert to fraction form
    256,219.20/354,391.20 = 226,411.20/x
  3. Step 3: Cross multiply
    256,219.20x = 354,391.20 × 226,411.20
  4. Step 4: Simplify right side
    256,219.20x = 80,238,136,861.44
  5. Step 5: Solve for x
    x = 80,238,136,861.44/256,219.20
  6. Step 6: Final answer
    x = 313,162.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.