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Finding the Fourth Proportional to 256,842.12, 354,422.88 and 143,643

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Solution

The fourth proportional to 256,842.12, 354,422.88 and 143,643 is: 198,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842.12 : 354,422.88 = 143,643 : x
  2. Step 2: Convert to fraction form
    256,842.12/354,422.88 = 143,643/x
  3. Step 3: Cross multiply
    256,842.12x = 354,422.88 × 143,643
  4. Step 4: Simplify right side
    256,842.12x = 50,910,365,751.84
  5. Step 5: Solve for x
    x = 50,910,365,751.84/256,842.12
  6. Step 6: Final answer
    x = 198,216.58

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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.