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Finding the Fourth Proportional to 429,468.64, 644,071.70 and 204,710.64

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Solution

The fourth proportional to 429,468.64, 644,071.70 and 204,710.64 is: 307,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,468.64 : 644,071.70 = 204,710.64 : x
  2. Step 2: Convert to fraction form
    429,468.64/644,071.70 = 204,710.64/x
  3. Step 3: Cross multiply
    429,468.64x = 644,071.70 × 204,710.64
  4. Step 4: Simplify right side
    429,468.64x = 131,848,329,912.89
  5. Step 5: Solve for x
    x = 131,848,329,912.89/429,468.64
  6. Step 6: Final answer
    x = 307,003.39

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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.