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Finding the Fourth Proportional to 429,467.64, 644,070.20 and 204,709.64

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Solution

The fourth proportional to 429,467.64, 644,070.20 and 204,709.64 is: 307,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,467.64 : 644,070.20 = 204,709.64 : x
  2. Step 2: Convert to fraction form
    429,467.64/644,070.20 = 204,709.64/x
  3. Step 3: Cross multiply
    429,467.64x = 644,070.20 × 204,709.64
  4. Step 4: Simplify right side
    429,467.64x = 131,847,378,776.73
  5. Step 5: Solve for x
    x = 131,847,378,776.73/429,467.64
  6. Step 6: Final answer
    x = 307,001.89

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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.