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Finding the Fourth Proportional to 468,892.42, 647,035.76 and 285,105.46

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Solution

The fourth proportional to 468,892.42, 647,035.76 and 285,105.46 is: 393,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,892.42 : 647,035.76 = 285,105.46 : x
  2. Step 2: Convert to fraction form
    468,892.42/647,035.76 = 285,105.46/x
  3. Step 3: Cross multiply
    468,892.42x = 647,035.76 × 285,105.46
  4. Step 4: Simplify right side
    468,892.42x = 184,473,427,991.25
  5. Step 5: Solve for x
    x = 184,473,427,991.25/468,892.42
  6. Step 6: Final answer
    x = 393,423.78

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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.