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Finding the Fourth Proportional to 389,941.84, 584,793.60 and 165,298

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Solution

The fourth proportional to 389,941.84, 584,793.60 and 165,298 is: 247,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,941.84 : 584,793.60 = 165,298 : x
  2. Step 2: Convert to fraction form
    389,941.84/584,793.60 = 165,298/x
  3. Step 3: Cross multiply
    389,941.84x = 584,793.60 × 165,298
  4. Step 4: Simplify right side
    389,941.84x = 96,665,212,492.80
  5. Step 5: Solve for x
    x = 96,665,212,492.80/389,941.84
  6. Step 6: Final answer
    x = 247,896.49

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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.