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Finding the Fourth Proportional to 389,200.78, 583,825.78 and 164,531.64

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Solution

The fourth proportional to 389,200.78, 583,825.78 and 164,531.64 is: 246,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,200.78 : 583,825.78 = 164,531.64 : x
  2. Step 2: Convert to fraction form
    389,200.78/583,825.78 = 164,531.64/x
  3. Step 3: Cross multiply
    389,200.78x = 583,825.78 × 164,531.64
  4. Step 4: Simplify right side
    389,200.78x = 96,057,813,057.68
  5. Step 5: Solve for x
    x = 96,057,813,057.68/389,200.78
  6. Step 6: Final answer
    x = 246,807.86

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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.