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Finding the Fourth Proportional to 256,790.52, 354,370.68 and 143,613

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Solution

The fourth proportional to 256,790.52, 354,370.68 and 143,613 is: 198,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,790.52 : 354,370.68 = 143,613 : x
  2. Step 2: Convert to fraction form
    256,790.52/354,370.68 = 143,613/x
  3. Step 3: Cross multiply
    256,790.52x = 354,370.68 × 143,613
  4. Step 4: Simplify right side
    256,790.52x = 50,892,236,466.84
  5. Step 5: Solve for x
    x = 50,892,236,466.84/256,790.52
  6. Step 6: Final answer
    x = 198,185.81

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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.