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Finding the Fourth Proportional to 493,817.99, 681,524.13 and 278,971.89

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Solution

The fourth proportional to 493,817.99, 681,524.13 and 278,971.89 is: 385,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,817.99 : 681,524.13 = 278,971.89 : x
  2. Step 2: Convert to fraction form
    493,817.99/681,524.13 = 278,971.89/x
  3. Step 3: Cross multiply
    493,817.99x = 681,524.13 × 278,971.89
  4. Step 4: Simplify right side
    493,817.99x = 190,126,078,475.19
  5. Step 5: Solve for x
    x = 190,126,078,475.19/493,817.99
  6. Step 6: Final answer
    x = 385,012.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.