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Finding the Fourth Proportional to 493,814.86, 740,722.44 and 138,829

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Solution

The fourth proportional to 493,814.86, 740,722.44 and 138,829 is: 208,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,814.86 : 740,722.44 = 138,829 : x
  2. Step 2: Convert to fraction form
    493,814.86/740,722.44 = 138,829/x
  3. Step 3: Cross multiply
    493,814.86x = 740,722.44 × 138,829
  4. Step 4: Simplify right side
    493,814.86x = 102,833,755,622.76
  5. Step 5: Solve for x
    x = 102,833,755,622.76/493,814.86
  6. Step 6: Final answer
    x = 208,243.54

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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.