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Finding the Fourth Proportional to 308,622.80, 462,834.36 and 98,211.44

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Solution

The fourth proportional to 308,622.80, 462,834.36 and 98,211.44 is: 147,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,622.80 : 462,834.36 = 98,211.44 : x
  2. Step 2: Convert to fraction form
    308,622.80/462,834.36 = 98,211.44/x
  3. Step 3: Cross multiply
    308,622.80x = 462,834.36 × 98,211.44
  4. Step 4: Simplify right side
    308,622.80x = 45,455,628,977.08
  5. Step 5: Solve for x
    x = 45,455,628,977.08/308,622.80
  6. Step 6: Final answer
    x = 147,285.39

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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.