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Finding the Fourth Proportional to 433,055.47, 649,469.40 and 129,377.56

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Solution

The fourth proportional to 433,055.47, 649,469.40 and 129,377.56 is: 194,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,055.47 : 649,469.40 = 129,377.56 : x
  2. Step 2: Convert to fraction form
    433,055.47/649,469.40 = 129,377.56/x
  3. Step 3: Cross multiply
    433,055.47x = 649,469.40 × 129,377.56
  4. Step 4: Simplify right side
    433,055.47x = 84,026,766,266.66
  5. Step 5: Solve for x
    x = 84,026,766,266.66/433,055.47
  6. Step 6: Final answer
    x = 194,032.34

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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.