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Finding the Fourth Proportional to 429,777.47, 643,780.26 and 251,744.73

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Solution

The fourth proportional to 429,777.47, 643,780.26 and 251,744.73 is: 377,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,777.47 : 643,780.26 = 251,744.73 : x
  2. Step 2: Convert to fraction form
    429,777.47/643,780.26 = 251,744.73/x
  3. Step 3: Cross multiply
    429,777.47x = 643,780.26 × 251,744.73
  4. Step 4: Simplify right side
    429,777.47x = 162,068,287,733.03
  5. Step 5: Solve for x
    x = 162,068,287,733.03/429,777.47
  6. Step 6: Final answer
    x = 377,098.15

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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.