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Finding the Fourth Proportional to 429,447.60, 644,171.40 and 270,015.30

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Solution

The fourth proportional to 429,447.60, 644,171.40 and 270,015.30 is: 405,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,447.60 : 644,171.40 = 270,015.30 : x
  2. Step 2: Convert to fraction form
    429,447.60/644,171.40 = 270,015.30/x
  3. Step 3: Cross multiply
    429,447.60x = 644,171.40 × 270,015.30
  4. Step 4: Simplify right side
    429,447.60x = 173,936,133,822.42
  5. Step 5: Solve for x
    x = 173,936,133,822.42/429,447.60
  6. Step 6: Final answer
    x = 405,022.95

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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.