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Finding the Fourth Proportional to 256,842.60, 354,469.44 and 147,950.68

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Solution

The fourth proportional to 256,842.60, 354,469.44 and 147,950.68 is: 204,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842.60 : 354,469.44 = 147,950.68 : x
  2. Step 2: Convert to fraction form
    256,842.60/354,469.44 = 147,950.68/x
  3. Step 3: Cross multiply
    256,842.60x = 354,469.44 × 147,950.68
  4. Step 4: Simplify right side
    256,842.60x = 52,443,994,687.22
  5. Step 5: Solve for x
    x = 52,443,994,687.22/256,842.60
  6. Step 6: Final answer
    x = 204,187.29

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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.