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Finding the Fourth Proportional to 429,889.97, 644,841.16 and 163,665.11

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Solution

The fourth proportional to 429,889.97, 644,841.16 and 163,665.11 is: 245,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,889.97 : 644,841.16 = 163,665.11 : x
  2. Step 2: Convert to fraction form
    429,889.97/644,841.16 = 163,665.11/x
  3. Step 3: Cross multiply
    429,889.97x = 644,841.16 × 163,665.11
  4. Step 4: Simplify right side
    429,889.97x = 105,538,000,586.87
  5. Step 5: Solve for x
    x = 105,538,000,586.87/429,889.97
  6. Step 6: Final answer
    x = 245,500.03

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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.