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Finding the Fourth Proportional to 311,462.74, 466,808.65 and 221,361.85

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Solution

The fourth proportional to 311,462.74, 466,808.65 and 221,361.85 is: 331,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,462.74 : 466,808.65 = 221,361.85 : x
  2. Step 2: Convert to fraction form
    311,462.74/466,808.65 = 221,361.85/x
  3. Step 3: Cross multiply
    311,462.74x = 466,808.65 × 221,361.85
  4. Step 4: Simplify right side
    311,462.74x = 103,333,626,360.00
  5. Step 5: Solve for x
    x = 103,333,626,360.00/311,462.74
  6. Step 6: Final answer
    x = 331,768.82

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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.