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Finding the Fourth Proportional to 493,352.82, 739,967.73 and 138,394.53

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Solution

The fourth proportional to 493,352.82, 739,967.73 and 138,394.53 is: 207,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,352.82 : 739,967.73 = 138,394.53 : x
  2. Step 2: Convert to fraction form
    493,352.82/739,967.73 = 138,394.53/x
  3. Step 3: Cross multiply
    493,352.82x = 739,967.73 × 138,394.53
  4. Step 4: Simplify right side
    493,352.82x = 102,407,486,208.52
  5. Step 5: Solve for x
    x = 102,407,486,208.52/493,352.82
  6. Step 6: Final answer
    x = 207,574.54

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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.