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Finding the Fourth Proportional to 297,856.96, 446,785.20 and 87,642.40

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Solution

The fourth proportional to 297,856.96, 446,785.20 and 87,642.40 is: 131,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,856.96 : 446,785.20 = 87,642.40 : x
  2. Step 2: Convert to fraction form
    297,856.96/446,785.20 = 87,642.40/x
  3. Step 3: Cross multiply
    297,856.96x = 446,785.20 × 87,642.40
  4. Step 4: Simplify right side
    297,856.96x = 39,157,327,212.48
  5. Step 5: Solve for x
    x = 39,157,327,212.48/297,856.96
  6. Step 6: Final answer
    x = 131,463.53

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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.