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Finding the Fourth Proportional to 429,340.12, 644,012.40 and 251,722.57

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Solution

The fourth proportional to 429,340.12, 644,012.40 and 251,722.57 is: 377,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,340.12 : 644,012.40 = 251,722.57 : x
  2. Step 2: Convert to fraction form
    429,340.12/644,012.40 = 251,722.57/x
  3. Step 3: Cross multiply
    429,340.12x = 644,012.40 × 251,722.57
  4. Step 4: Simplify right side
    429,340.12x = 162,112,451,961.19
  5. Step 5: Solve for x
    x = 162,112,451,961.19/429,340.12
  6. Step 6: Final answer
    x = 377,585.15

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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.