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Finding the Fourth Proportional to 311,737.72, 467,675.88 and 145,435

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Solution

The fourth proportional to 311,737.72, 467,675.88 and 145,435 is: 218,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,737.72 : 467,675.88 = 145,435 : x
  2. Step 2: Convert to fraction form
    311,737.72/467,675.88 = 145,435/x
  3. Step 3: Cross multiply
    311,737.72x = 467,675.88 × 145,435
  4. Step 4: Simplify right side
    311,737.72x = 68,016,441,607.80
  5. Step 5: Solve for x
    x = 68,016,441,607.80/311,737.72
  6. Step 6: Final answer
    x = 218,184.83

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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.