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Finding the Fourth Proportional to 389,712.60, 584,244.90 and 165,245.40

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Solution

The fourth proportional to 389,712.60, 584,244.90 and 165,245.40 is: 247,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,712.60 : 584,244.90 = 165,245.40 : x
  2. Step 2: Convert to fraction form
    389,712.60/584,244.90 = 165,245.40/x
  3. Step 3: Cross multiply
    389,712.60x = 584,244.90 × 165,245.40
  4. Step 4: Simplify right side
    389,712.60x = 96,543,782,198.46
  5. Step 5: Solve for x
    x = 96,543,782,198.46/389,712.60
  6. Step 6: Final answer
    x = 247,730.72

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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.