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Finding the Fourth Proportional to 412,130.31, 567,418 and 321,369.81

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Solution

The fourth proportional to 412,130.31, 567,418 and 321,369.81 is: 442,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,130.31 : 567,418 = 321,369.81 : x
  2. Step 2: Convert to fraction form
    412,130.31/567,418 = 321,369.81/x
  3. Step 3: Cross multiply
    412,130.31x = 567,418 × 321,369.81
  4. Step 4: Simplify right side
    412,130.31x = 182,351,014,850.58
  5. Step 5: Solve for x
    x = 182,351,014,850.58/412,130.31
  6. Step 6: Final answer
    x = 442,459.61

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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.