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Finding the Fourth Proportional to 489,009.26, 733,451.58 and 189,284.78

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Solution

The fourth proportional to 489,009.26, 733,451.58 and 189,284.78 is: 283,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,009.26 : 733,451.58 = 189,284.78 : x
  2. Step 2: Convert to fraction form
    489,009.26/733,451.58 = 189,284.78/x
  3. Step 3: Cross multiply
    489,009.26x = 733,451.58 × 189,284.78
  4. Step 4: Simplify right side
    489,009.26x = 138,831,217,293.69
  5. Step 5: Solve for x
    x = 138,831,217,293.69/489,009.26
  6. Step 6: Final answer
    x = 283,903.05

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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.