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Finding the Fourth Proportional to 472,408.78, 708,467.82 and 135,359.14

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Solution

The fourth proportional to 472,408.78, 708,467.82 and 135,359.14 is: 202,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,408.78 : 708,467.82 = 135,359.14 : x
  2. Step 2: Convert to fraction form
    472,408.78/708,467.82 = 135,359.14/x
  3. Step 3: Cross multiply
    472,408.78x = 708,467.82 × 135,359.14
  4. Step 4: Simplify right side
    472,408.78x = 95,897,594,832.87
  5. Step 5: Solve for x
    x = 95,897,594,832.87/472,408.78
  6. Step 6: Final answer
    x = 202,997.06

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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.