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Finding the Fourth Proportional to 429,892.24, 644,844.54 and 163,667.36

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Solution

The fourth proportional to 429,892.24, 644,844.54 and 163,667.36 is: 245,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,892.24 : 644,844.54 = 163,667.36 : x
  2. Step 2: Convert to fraction form
    429,892.24/644,844.54 = 163,667.36/x
  3. Step 3: Cross multiply
    429,892.24x = 644,844.54 × 163,667.36
  4. Step 4: Simplify right side
    429,892.24x = 105,540,003,472.21
  5. Step 5: Solve for x
    x = 105,540,003,472.21/429,892.24
  6. Step 6: Final answer
    x = 245,503.39

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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.