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Finding the Fourth Proportional to 256,596.96, 354,111.36 and 143,420

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Solution

The fourth proportional to 256,596.96, 354,111.36 and 143,420 is: 197,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596.96 : 354,111.36 = 143,420 : x
  2. Step 2: Convert to fraction form
    256,596.96/354,111.36 = 143,420/x
  3. Step 3: Cross multiply
    256,596.96x = 354,111.36 × 143,420
  4. Step 4: Simplify right side
    256,596.96x = 50,786,651,251.20
  5. Step 5: Solve for x
    x = 50,786,651,251.20/256,596.96
  6. Step 6: Final answer
    x = 197,923.82

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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.