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Finding the Fourth Proportional to 278,805.42, 418,059.90 and 110,318.94

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Solution

The fourth proportional to 278,805.42, 418,059.90 and 110,318.94 is: 165,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,805.42 : 418,059.90 = 110,318.94 : x
  2. Step 2: Convert to fraction form
    278,805.42/418,059.90 = 110,318.94/x
  3. Step 3: Cross multiply
    278,805.42x = 418,059.90 × 110,318.94
  4. Step 4: Simplify right side
    278,805.42x = 46,119,925,024.51
  5. Step 5: Solve for x
    x = 46,119,925,024.51/278,805.42
  6. Step 6: Final answer
    x = 165,419.76

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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.