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Finding the Fourth Proportional to 407,027.86, 610,634.80 and 140,788.14

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Solution

The fourth proportional to 407,027.86, 610,634.80 and 140,788.14 is: 211,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,027.86 : 610,634.80 = 140,788.14 : x
  2. Step 2: Convert to fraction form
    407,027.86/610,634.80 = 140,788.14/x
  3. Step 3: Cross multiply
    407,027.86x = 610,634.80 × 140,788.14
  4. Step 4: Simplify right side
    407,027.86x = 85,970,137,711.27
  5. Step 5: Solve for x
    x = 85,970,137,711.27/407,027.86
  6. Step 6: Final answer
    x = 211,214.38

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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.