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Finding the Fourth Proportional to 429,400.80, 643,906.80 and 163,072.80

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Solution

The fourth proportional to 429,400.80, 643,906.80 and 163,072.80 is: 244,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,400.80 : 643,906.80 = 163,072.80 : x
  2. Step 2: Convert to fraction form
    429,400.80/643,906.80 = 163,072.80/x
  3. Step 3: Cross multiply
    429,400.80x = 643,906.80 × 163,072.80
  4. Step 4: Simplify right side
    429,400.80x = 105,003,684,815.04
  5. Step 5: Solve for x
    x = 105,003,684,815.04/429,400.80
  6. Step 6: Final answer
    x = 244,535.37

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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.