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Finding the Fourth Proportional to 402,383.84, 605,982.96 and 366,512.16

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Solution

The fourth proportional to 402,383.84, 605,982.96 and 366,512.16 is: 551,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,383.84 : 605,982.96 = 366,512.16 : x
  2. Step 2: Convert to fraction form
    402,383.84/605,982.96 = 366,512.16/x
  3. Step 3: Cross multiply
    402,383.84x = 605,982.96 × 366,512.16
  4. Step 4: Simplify right side
    402,383.84x = 222,100,123,592.79
  5. Step 5: Solve for x
    x = 222,100,123,592.79/402,383.84
  6. Step 6: Final answer
    x = 551,960.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.