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Finding the Fourth Proportional to 278,877.72, 418,313.28 and 101,383.26

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Solution

The fourth proportional to 278,877.72, 418,313.28 and 101,383.26 is: 152,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,877.72 : 418,313.28 = 101,383.26 : x
  2. Step 2: Convert to fraction form
    278,877.72/418,313.28 = 101,383.26/x
  3. Step 3: Cross multiply
    278,877.72x = 418,313.28 × 101,383.26
  4. Step 4: Simplify right side
    278,877.72x = 42,409,964,027.69
  5. Step 5: Solve for x
    x = 42,409,964,027.69/278,877.72
  6. Step 6: Final answer
    x = 152,073.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.