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Finding the Fourth Proportional to 343,625.60, 515,546.40 and 166,138.40

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Solution

The fourth proportional to 343,625.60, 515,546.40 and 166,138.40 is: 249,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,625.60 : 515,546.40 = 166,138.40 : x
  2. Step 2: Convert to fraction form
    343,625.60/515,546.40 = 166,138.40/x
  3. Step 3: Cross multiply
    343,625.60x = 515,546.40 × 166,138.40
  4. Step 4: Simplify right side
    343,625.60x = 85,652,054,021.76
  5. Step 5: Solve for x
    x = 85,652,054,021.76/343,625.60
  6. Step 6: Final answer
    x = 249,259.82

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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.