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Finding the Fourth Proportional to 342,647.60, 513,991.56 and 132,286.64

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Solution

The fourth proportional to 342,647.60, 513,991.56 and 132,286.64 is: 198,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,647.60 : 513,991.56 = 132,286.64 : x
  2. Step 2: Convert to fraction form
    342,647.60/513,991.56 = 132,286.64/x
  3. Step 3: Cross multiply
    342,647.60x = 513,991.56 × 132,286.64
  4. Step 4: Simplify right side
    342,647.60x = 67,994,216,460.76
  5. Step 5: Solve for x
    x = 67,994,216,460.76/342,647.60
  6. Step 6: Final answer
    x = 198,437.74

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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.