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Finding the Fourth Proportional to 256,753.91, 354,313.76 and 142,029.56

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Solution

The fourth proportional to 256,753.91, 354,313.76 and 142,029.56 is: 195,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.91 : 354,313.76 = 142,029.56 : x
  2. Step 2: Convert to fraction form
    256,753.91/354,313.76 = 142,029.56/x
  3. Step 3: Cross multiply
    256,753.91x = 354,313.76 × 142,029.56
  4. Step 4: Simplify right side
    256,753.91x = 50,323,024,953.03
  5. Step 5: Solve for x
    x = 50,323,024,953.03/256,753.91
  6. Step 6: Final answer
    x = 195,997.12

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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.