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Finding the Fourth Proportional to 429,338.40, 644,009.82 and 251,720.85

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Solution

The fourth proportional to 429,338.40, 644,009.82 and 251,720.85 is: 377,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,338.40 : 644,009.82 = 251,720.85 : x
  2. Step 2: Convert to fraction form
    429,338.40/644,009.82 = 251,720.85/x
  3. Step 3: Cross multiply
    429,338.40x = 644,009.82 × 251,720.85
  4. Step 4: Simplify right side
    429,338.40x = 162,110,699,298.75
  5. Step 5: Solve for x
    x = 162,110,699,298.75/429,338.40
  6. Step 6: Final answer
    x = 377,582.58

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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.