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Finding the Fourth Proportional to 403,820.70, 605,682.45 and 167,138.70

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Solution

The fourth proportional to 403,820.70, 605,682.45 and 167,138.70 is: 250,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,820.70 : 605,682.45 = 167,138.70 : x
  2. Step 2: Convert to fraction form
    403,820.70/605,682.45 = 167,138.70/x
  3. Step 3: Cross multiply
    403,820.70x = 605,682.45 × 167,138.70
  4. Step 4: Simplify right side
    403,820.70x = 101,232,977,305.82
  5. Step 5: Solve for x
    x = 101,232,977,305.82/403,820.70
  6. Step 6: Final answer
    x = 250,687.93

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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.