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Finding the Fourth Proportional to 429,472.88, 644,078.08 and 204,714.90

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Solution

The fourth proportional to 429,472.88, 644,078.08 and 204,714.90 is: 307,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,472.88 : 644,078.08 = 204,714.90 : x
  2. Step 2: Convert to fraction form
    429,472.88/644,078.08 = 204,714.90/x
  3. Step 3: Cross multiply
    429,472.88x = 644,078.08 × 204,714.90
  4. Step 4: Simplify right side
    429,472.88x = 131,852,379,739.39
  5. Step 5: Solve for x
    x = 131,852,379,739.39/429,472.88
  6. Step 6: Final answer
    x = 307,009.79

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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.