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Finding the Fourth Proportional to 429,757.34, 644,636.01 and 163,456.34

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Solution

The fourth proportional to 429,757.34, 644,636.01 and 163,456.34 is: 245,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,757.34 : 644,636.01 = 163,456.34 : x
  2. Step 2: Convert to fraction form
    429,757.34/644,636.01 = 163,456.34/x
  3. Step 3: Cross multiply
    429,757.34x = 644,636.01 × 163,456.34
  4. Step 4: Simplify right side
    429,757.34x = 105,369,842,826.80
  5. Step 5: Solve for x
    x = 105,369,842,826.80/429,757.34
  6. Step 6: Final answer
    x = 245,184.51

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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.