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Finding the Fourth Proportional to 278,496.05, 384,333.14 and 163,753.97

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Solution

The fourth proportional to 278,496.05, 384,333.14 and 163,753.97 is: 225,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,496.05 : 384,333.14 = 163,753.97 : x
  2. Step 2: Convert to fraction form
    278,496.05/384,333.14 = 163,753.97/x
  3. Step 3: Cross multiply
    278,496.05x = 384,333.14 × 163,753.97
  4. Step 4: Simplify right side
    278,496.05x = 62,936,075,965.29
  5. Step 5: Solve for x
    x = 62,936,075,965.29/278,496.05
  6. Step 6: Final answer
    x = 225,985.53

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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.