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Finding the Fourth Proportional to 429,542.64, 644,336.19 and 109,697.49

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Solution

The fourth proportional to 429,542.64, 644,336.19 and 109,697.49 is: 164,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,542.64 : 644,336.19 = 109,697.49 : x
  2. Step 2: Convert to fraction form
    429,542.64/644,336.19 = 109,697.49/x
  3. Step 3: Cross multiply
    429,542.64x = 644,336.19 × 109,697.49
  4. Step 4: Simplify right side
    429,542.64x = 70,682,062,759.16
  5. Step 5: Solve for x
    x = 70,682,062,759.16/429,542.64
  6. Step 6: Final answer
    x = 164,551.91

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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.