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Finding the Fourth Proportional to 489,419.52, 734,336.64 and 267,544.32

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Solution

The fourth proportional to 489,419.52, 734,336.64 and 267,544.32 is: 401,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,419.52 : 734,336.64 = 267,544.32 : x
  2. Step 2: Convert to fraction form
    489,419.52/734,336.64 = 267,544.32/x
  3. Step 3: Cross multiply
    489,419.52x = 734,336.64 × 267,544.32
  4. Step 4: Simplify right side
    489,419.52x = 196,467,596,999.89
  5. Step 5: Solve for x
    x = 196,467,596,999.89/489,419.52
  6. Step 6: Final answer
    x = 401,429.83

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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.