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Finding the Fourth Proportional to 429,353.56, 644,077.04 and 159,450.03

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Solution

The fourth proportional to 429,353.56, 644,077.04 and 159,450.03 is: 239,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,353.56 : 644,077.04 = 159,450.03 : x
  2. Step 2: Convert to fraction form
    429,353.56/644,077.04 = 159,450.03/x
  3. Step 3: Cross multiply
    429,353.56x = 644,077.04 × 159,450.03
  4. Step 4: Simplify right side
    429,353.56x = 102,698,102,553.06
  5. Step 5: Solve for x
    x = 102,698,102,553.06/429,353.56
  6. Step 6: Final answer
    x = 239,192.39

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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.