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Finding the Fourth Proportional to 429,876.05, 644,203 and 316,665.99

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Solution

The fourth proportional to 429,876.05, 644,203 and 316,665.99 is: 474,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,876.05 : 644,203 = 316,665.99 : x
  2. Step 2: Convert to fraction form
    429,876.05/644,203 = 316,665.99/x
  3. Step 3: Cross multiply
    429,876.05x = 644,203 × 316,665.99
  4. Step 4: Simplify right side
    429,876.05x = 203,997,180,755.97
  5. Step 5: Solve for x
    x = 203,997,180,755.97/429,876.05
  6. Step 6: Final answer
    x = 474,548.84

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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.