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Finding the Fourth Proportional to 342,647.25, 472,837.87 and 189,674.63

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Solution

The fourth proportional to 342,647.25, 472,837.87 and 189,674.63 is: 261,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,647.25 : 472,837.87 = 189,674.63 : x
  2. Step 2: Convert to fraction form
    342,647.25/472,837.87 = 189,674.63/x
  3. Step 3: Cross multiply
    342,647.25x = 472,837.87 × 189,674.63
  4. Step 4: Simplify right side
    342,647.25x = 89,685,346,989.55
  5. Step 5: Solve for x
    x = 89,685,346,989.55/342,647.25
  6. Step 6: Final answer
    x = 261,742.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.