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Finding the Fourth Proportional to 342,465.30, 472,591.44 and 189,494.28

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Solution

The fourth proportional to 342,465.30, 472,591.44 and 189,494.28 is: 261,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,465.30 : 472,591.44 = 189,494.28 : x
  2. Step 2: Convert to fraction form
    342,465.30/472,591.44 = 189,494.28/x
  3. Step 3: Cross multiply
    342,465.30x = 472,591.44 × 189,494.28
  4. Step 4: Simplify right side
    342,465.30x = 89,553,374,656.96
  5. Step 5: Solve for x
    x = 89,553,374,656.96/342,465.30
  6. Step 6: Final answer
    x = 261,496.20

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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.