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Finding the Fourth Proportional to 429,342.75, 644,014.17 and 133,854.75

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Solution

The fourth proportional to 429,342.75, 644,014.17 and 133,854.75 is: 200,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,342.75 : 644,014.17 = 133,854.75 : x
  2. Step 2: Convert to fraction form
    429,342.75/644,014.17 = 133,854.75/x
  3. Step 3: Cross multiply
    429,342.75x = 644,014.17 × 133,854.75
  4. Step 4: Simplify right side
    429,342.75x = 86,204,355,721.81
  5. Step 5: Solve for x
    x = 86,204,355,721.81/429,342.75
  6. Step 6: Final answer
    x = 200,782.14

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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.