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Finding the Fourth Proportional to 278,317.94, 418,051.89 and 266,189.19

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Solution

The fourth proportional to 278,317.94, 418,051.89 and 266,189.19 is: 399,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,317.94 : 418,051.89 = 266,189.19 : x
  2. Step 2: Convert to fraction form
    278,317.94/418,051.89 = 266,189.19/x
  3. Step 3: Cross multiply
    278,317.94x = 418,051.89 × 266,189.19
  4. Step 4: Simplify right side
    278,317.94x = 111,280,893,977.07
  5. Step 5: Solve for x
    x = 111,280,893,977.07/278,317.94
  6. Step 6: Final answer
    x = 399,833.71

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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.