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Finding the Fourth Proportional to 429,389.91, 644,084.87 and 163,087.43

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Solution

The fourth proportional to 429,389.91, 644,084.87 and 163,087.43 is: 244,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,389.91 : 644,084.87 = 163,087.43 : x
  2. Step 2: Convert to fraction form
    429,389.91/644,084.87 = 163,087.43/x
  3. Step 3: Cross multiply
    429,389.91x = 644,084.87 × 163,087.43
  4. Step 4: Simplify right side
    429,389.91x = 105,042,142,114.32
  5. Step 5: Solve for x
    x = 105,042,142,114.32/429,389.91
  6. Step 6: Final answer
    x = 244,631.14

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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.