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Finding the Fourth Proportional to 257,020.22, 354,687.86 and 143,842.97

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Solution

The fourth proportional to 257,020.22, 354,687.86 and 143,842.97 is: 198,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,020.22 : 354,687.86 = 143,842.97 : x
  2. Step 2: Convert to fraction form
    257,020.22/354,687.86 = 143,842.97/x
  3. Step 3: Cross multiply
    257,020.22x = 354,687.86 × 143,842.97
  4. Step 4: Simplify right side
    257,020.22x = 51,019,356,451.67
  5. Step 5: Solve for x
    x = 51,019,356,451.67/257,020.22
  6. Step 6: Final answer
    x = 198,503.28

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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.