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Finding the Fourth Proportional to 315,134.26, 472,820.82 and 188,865.12

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Solution

The fourth proportional to 315,134.26, 472,820.82 and 188,865.12 is: 283,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,134.26 : 472,820.82 = 188,865.12 : x
  2. Step 2: Convert to fraction form
    315,134.26/472,820.82 = 188,865.12/x
  3. Step 3: Cross multiply
    315,134.26x = 472,820.82 × 188,865.12
  4. Step 4: Simplify right side
    315,134.26x = 89,299,359,844.20
  5. Step 5: Solve for x
    x = 89,299,359,844.20/315,134.26
  6. Step 6: Final answer
    x = 283,369.25

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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.