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Finding the Fourth Proportional to 389,679.60, 584,195.40 and 165,212.40

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Solution

The fourth proportional to 389,679.60, 584,195.40 and 165,212.40 is: 247,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,679.60 : 584,195.40 = 165,212.40 : x
  2. Step 2: Convert to fraction form
    389,679.60/584,195.40 = 165,212.40/x
  3. Step 3: Cross multiply
    389,679.60x = 584,195.40 × 165,212.40
  4. Step 4: Simplify right side
    389,679.60x = 96,516,324,102.96
  5. Step 5: Solve for x
    x = 96,516,324,102.96/389,679.60
  6. Step 6: Final answer
    x = 247,681.23

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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.