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Finding the Fourth Proportional to 450,408, 675,612 and 169,859.64

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Solution

The fourth proportional to 450,408, 675,612 and 169,859.64 is: 254,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,408 : 675,612 = 169,859.64 : x
  2. Step 2: Convert to fraction form
    450,408/675,612 = 169,859.64/x
  3. Step 3: Cross multiply
    450,408x = 675,612 × 169,859.64
  4. Step 4: Simplify right side
    450,408x = 114,759,211,099.68
  5. Step 5: Solve for x
    x = 114,759,211,099.68/450,408
  6. Step 6: Final answer
    x = 254,789.46

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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.