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Finding the Fourth Proportional to 497,684.70, 746,527.05 and 308,727.90

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Solution

The fourth proportional to 497,684.70, 746,527.05 and 308,727.90 is: 463,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,684.70 : 746,527.05 = 308,727.90 : x
  2. Step 2: Convert to fraction form
    497,684.70/746,527.05 = 308,727.90/x
  3. Step 3: Cross multiply
    497,684.70x = 746,527.05 × 308,727.90
  4. Step 4: Simplify right side
    497,684.70x = 230,473,728,439.70
  5. Step 5: Solve for x
    x = 230,473,728,439.70/497,684.70
  6. Step 6: Final answer
    x = 463,091.85

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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.