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Finding the Fourth Proportional to 322,419.12, 483,710.64 and 189,411.84

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Solution

The fourth proportional to 322,419.12, 483,710.64 and 189,411.84 is: 284,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,419.12 : 483,710.64 = 189,411.84 : x
  2. Step 2: Convert to fraction form
    322,419.12/483,710.64 = 189,411.84/x
  3. Step 3: Cross multiply
    322,419.12x = 483,710.64 × 189,411.84
  4. Step 4: Simplify right side
    322,419.12x = 91,620,522,349.98
  5. Step 5: Solve for x
    x = 91,620,522,349.98/322,419.12
  6. Step 6: Final answer
    x = 284,165.91

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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.