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Finding the Fourth Proportional to 429,403.68, 644,187.33 and 173,256.57

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Solution

The fourth proportional to 429,403.68, 644,187.33 and 173,256.57 is: 259,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,403.68 : 644,187.33 = 173,256.57 : x
  2. Step 2: Convert to fraction form
    429,403.68/644,187.33 = 173,256.57/x
  3. Step 3: Cross multiply
    429,403.68x = 644,187.33 × 173,256.57
  4. Step 4: Simplify right side
    429,403.68x = 111,609,687,233.26
  5. Step 5: Solve for x
    x = 111,609,687,233.26/429,403.68
  6. Step 6: Final answer
    x = 259,917.86

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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.