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Finding the Fourth Proportional to 445,971.76, 615,183.68 and 284,645

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Solution

The fourth proportional to 445,971.76, 615,183.68 and 284,645 is: 392,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,971.76 : 615,183.68 = 284,645 : x
  2. Step 2: Convert to fraction form
    445,971.76/615,183.68 = 284,645/x
  3. Step 3: Cross multiply
    445,971.76x = 615,183.68 × 284,645
  4. Step 4: Simplify right side
    445,971.76x = 175,108,958,593.60
  5. Step 5: Solve for x
    x = 175,108,958,593.60/445,971.76
  6. Step 6: Final answer
    x = 392,645.85

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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.