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Finding the Fourth Proportional to 493,146.86, 739,727.57 and 138,138.44

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Solution

The fourth proportional to 493,146.86, 739,727.57 and 138,138.44 is: 207,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,146.86 : 739,727.57 = 138,138.44 : x
  2. Step 2: Convert to fraction form
    493,146.86/739,727.57 = 138,138.44/x
  3. Step 3: Cross multiply
    493,146.86x = 739,727.57 × 138,138.44
  4. Step 4: Simplify right side
    493,146.86x = 102,184,808,673.48
  5. Step 5: Solve for x
    x = 102,184,808,673.48/493,146.86
  6. Step 6: Final answer
    x = 207,209.69

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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.