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Finding the Fourth Proportional to 338,991.86, 508,473.22 and 102,327.48

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Solution

The fourth proportional to 338,991.86, 508,473.22 and 102,327.48 is: 153,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,991.86 : 508,473.22 = 102,327.48 : x
  2. Step 2: Convert to fraction form
    338,991.86/508,473.22 = 102,327.48/x
  3. Step 3: Cross multiply
    338,991.86x = 508,473.22 × 102,327.48
  4. Step 4: Simplify right side
    338,991.86x = 52,030,782,994.27
  5. Step 5: Solve for x
    x = 52,030,782,994.27/338,991.86
  6. Step 6: Final answer
    x = 153,486.82

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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.