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Finding the Fourth Proportional to 278,295.84, 417,074.56 and 151,611.04

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Solution

The fourth proportional to 278,295.84, 417,074.56 and 151,611.04 is: 227,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,295.84 : 417,074.56 = 151,611.04 : x
  2. Step 2: Convert to fraction form
    278,295.84/417,074.56 = 151,611.04/x
  3. Step 3: Cross multiply
    278,295.84x = 417,074.56 × 151,611.04
  4. Step 4: Simplify right side
    278,295.84x = 63,233,107,799.14
  5. Step 5: Solve for x
    x = 63,233,107,799.14/278,295.84
  6. Step 6: Final answer
    x = 227,215.43

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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.