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Finding the Fourth Proportional to 434,408.66, 651,408.50 and 168,293.78

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Solution

The fourth proportional to 434,408.66, 651,408.50 and 168,293.78 is: 252,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,408.66 : 651,408.50 = 168,293.78 : x
  2. Step 2: Convert to fraction form
    434,408.66/651,408.50 = 168,293.78/x
  3. Step 3: Cross multiply
    434,408.66x = 651,408.50 × 168,293.78
  4. Step 4: Simplify right side
    434,408.66x = 109,627,998,789.13
  5. Step 5: Solve for x
    x = 109,627,998,789.13/434,408.66
  6. Step 6: Final answer
    x = 252,361.45

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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.