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Finding the Fourth Proportional to 429,781.80, 643,786.86 and 251,749.08

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Solution

The fourth proportional to 429,781.80, 643,786.86 and 251,749.08 is: 377,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,781.80 : 643,786.86 = 251,749.08 : x
  2. Step 2: Convert to fraction form
    429,781.80/643,786.86 = 251,749.08/x
  3. Step 3: Cross multiply
    429,781.80x = 643,786.86 × 251,749.08
  4. Step 4: Simplify right side
    429,781.80x = 162,072,749,721.09
  5. Step 5: Solve for x
    x = 162,072,749,721.09/429,781.80
  6. Step 6: Final answer
    x = 377,104.73

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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.