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Finding the Fourth Proportional to 429,414.20, 644,121.30 and 310,441.40

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Solution

The fourth proportional to 429,414.20, 644,121.30 and 310,441.40 is: 465,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,414.20 : 644,121.30 = 310,441.40 : x
  2. Step 2: Convert to fraction form
    429,414.20/644,121.30 = 310,441.40/x
  3. Step 3: Cross multiply
    429,414.20x = 644,121.30 × 310,441.40
  4. Step 4: Simplify right side
    429,414.20x = 199,961,918,141.82
  5. Step 5: Solve for x
    x = 199,961,918,141.82/429,414.20
  6. Step 6: Final answer
    x = 465,662.10

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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.