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Finding the Fourth Proportional to 308,132.70, 462,199.05 and 287,396.70

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Solution

The fourth proportional to 308,132.70, 462,199.05 and 287,396.70 is: 431,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,132.70 : 462,199.05 = 287,396.70 : x
  2. Step 2: Convert to fraction form
    308,132.70/462,199.05 = 287,396.70/x
  3. Step 3: Cross multiply
    308,132.70x = 462,199.05 × 287,396.70
  4. Step 4: Simplify right side
    308,132.70x = 132,834,481,713.14
  5. Step 5: Solve for x
    x = 132,834,481,713.14/308,132.70
  6. Step 6: Final answer
    x = 431,095.05

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1.5x scale

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.