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Finding the Fourth Proportional to 488,709.75, 732,834.57 and 189,330.51

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Solution

The fourth proportional to 488,709.75, 732,834.57 and 189,330.51 is: 283,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,709.75 : 732,834.57 = 189,330.51 : x
  2. Step 2: Convert to fraction form
    488,709.75/732,834.57 = 189,330.51/x
  3. Step 3: Cross multiply
    488,709.75x = 732,834.57 × 189,330.51
  4. Step 4: Simplify right side
    488,709.75x = 138,747,942,883.73
  5. Step 5: Solve for x
    x = 138,747,942,883.73/488,709.75
  6. Step 6: Final answer
    x = 283,906.64

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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.