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Finding the Fourth Proportional to 429,190.86, 643,786.35 and 162,951.53

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Solution

The fourth proportional to 429,190.86, 643,786.35 and 162,951.53 is: 244,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,190.86 : 643,786.35 = 162,951.53 : x
  2. Step 2: Convert to fraction form
    429,190.86/643,786.35 = 162,951.53/x
  3. Step 3: Cross multiply
    429,190.86x = 643,786.35 × 162,951.53
  4. Step 4: Simplify right side
    429,190.86x = 104,905,967,506.68
  5. Step 5: Solve for x
    x = 104,905,967,506.68/429,190.86
  6. Step 6: Final answer
    x = 244,427.31

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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.