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Finding the Fourth Proportional to 429,352.93, 644,076.10 and 159,449.41

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Solution

The fourth proportional to 429,352.93, 644,076.10 and 159,449.41 is: 239,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,352.93 : 644,076.10 = 159,449.41 : x
  2. Step 2: Convert to fraction form
    429,352.93/644,076.10 = 159,449.41/x
  3. Step 3: Cross multiply
    429,352.93x = 644,076.10 × 159,449.41
  4. Step 4: Simplify right side
    429,352.93x = 102,697,550,919.72
  5. Step 5: Solve for x
    x = 102,697,550,919.72/429,352.93
  6. Step 6: Final answer
    x = 239,191.46

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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.