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Finding the Fourth Proportional to 429,551.52, 644,327.76 and 163,249.44

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Solution

The fourth proportional to 429,551.52, 644,327.76 and 163,249.44 is: 244,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,551.52 : 644,327.76 = 163,249.44 : x
  2. Step 2: Convert to fraction form
    429,551.52/644,327.76 = 163,249.44/x
  3. Step 3: Cross multiply
    429,551.52x = 644,327.76 × 163,249.44
  4. Step 4: Simplify right side
    429,551.52x = 105,186,145,996.45
  5. Step 5: Solve for x
    x = 105,186,145,996.45/429,551.52
  6. Step 6: Final answer
    x = 244,874.34

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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.