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Finding the Fourth Proportional to 429,446.82, 644,204.04 and 113,903.76

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Solution

The fourth proportional to 429,446.82, 644,204.04 and 113,903.76 is: 170,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,446.82 : 644,204.04 = 113,903.76 : x
  2. Step 2: Convert to fraction form
    429,446.82/644,204.04 = 113,903.76/x
  3. Step 3: Cross multiply
    429,446.82x = 644,204.04 × 113,903.76
  4. Step 4: Simplify right side
    429,446.82x = 73,377,262,363.19
  5. Step 5: Solve for x
    x = 73,377,262,363.19/429,446.82
  6. Step 6: Final answer
    x = 170,864.61

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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.