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Finding the Fourth Proportional to 278,593.50, 384,459.03 and 159,361.50

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Solution

The fourth proportional to 278,593.50, 384,459.03 and 159,361.50 is: 219,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,593.50 : 384,459.03 = 159,361.50 : x
  2. Step 2: Convert to fraction form
    278,593.50/384,459.03 = 159,361.50/x
  3. Step 3: Cross multiply
    278,593.50x = 384,459.03 × 159,361.50
  4. Step 4: Simplify right side
    278,593.50x = 61,267,967,709.35
  5. Step 5: Solve for x
    x = 61,267,967,709.35/278,593.50
  6. Step 6: Final answer
    x = 219,918.87

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1.5x scale

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.