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Finding the Fourth Proportional to 331,947.40, 497,327.10 and 201,879.40

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Solution

The fourth proportional to 331,947.40, 497,327.10 and 201,879.40 is: 302,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,947.40 : 497,327.10 = 201,879.40 : x
  2. Step 2: Convert to fraction form
    331,947.40/497,327.10 = 201,879.40/x
  3. Step 3: Cross multiply
    331,947.40x = 497,327.10 × 201,879.40
  4. Step 4: Simplify right side
    331,947.40x = 100,400,096,551.74
  5. Step 5: Solve for x
    x = 100,400,096,551.74/331,947.40
  6. Step 6: Final answer
    x = 302,457.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.