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Finding the Fourth Proportional to 278,883.12, 418,419.36 and 101,404.32

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Solution

The fourth proportional to 278,883.12, 418,419.36 and 101,404.32 is: 152,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,883.12 : 418,419.36 = 101,404.32 : x
  2. Step 2: Convert to fraction form
    278,883.12/418,419.36 = 101,404.32/x
  3. Step 3: Cross multiply
    278,883.12x = 418,419.36 × 101,404.32
  4. Step 4: Simplify right side
    278,883.12x = 42,429,530,675.64
  5. Step 5: Solve for x
    x = 42,429,530,675.64/278,883.12
  6. Step 6: Final answer
    x = 152,140.91

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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.