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Finding the Fourth Proportional to 256,524.32, 354,003 and 143,347.08

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Solution

The fourth proportional to 256,524.32, 354,003 and 143,347.08 is: 197,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,524.32 : 354,003 = 143,347.08 : x
  2. Step 2: Convert to fraction form
    256,524.32/354,003 = 143,347.08/x
  3. Step 3: Cross multiply
    256,524.32x = 354,003 × 143,347.08
  4. Step 4: Simplify right side
    256,524.32x = 50,745,296,361.24
  5. Step 5: Solve for x
    x = 50,745,296,361.24/256,524.32
  6. Step 6: Final answer
    x = 197,818.66

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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.