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Finding the Fourth Proportional to 429,408.39, 647,128.53 and 386,767.36

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Solution

The fourth proportional to 429,408.39, 647,128.53 and 386,767.36 is: 582,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,408.39 : 647,128.53 = 386,767.36 : x
  2. Step 2: Convert to fraction form
    429,408.39/647,128.53 = 386,767.36/x
  3. Step 3: Cross multiply
    429,408.39x = 647,128.53 × 386,767.36
  4. Step 4: Simplify right side
    429,408.39x = 250,288,193,128.78
  5. Step 5: Solve for x
    x = 250,288,193,128.78/429,408.39
  6. Step 6: Final answer
    x = 582,867.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.