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Finding the Fourth Proportional to 465,892.68, 642,910.32 and 284,906.28

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Solution

The fourth proportional to 465,892.68, 642,910.32 and 284,906.28 is: 393,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,892.68 : 642,910.32 = 284,906.28 : x
  2. Step 2: Convert to fraction form
    465,892.68/642,910.32 = 284,906.28/x
  3. Step 3: Cross multiply
    465,892.68x = 642,910.32 × 284,906.28
  4. Step 4: Simplify right side
    465,892.68x = 183,169,187,644.81
  5. Step 5: Solve for x
    x = 183,169,187,644.81/465,892.68
  6. Step 6: Final answer
    x = 393,157.47

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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.