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Finding the Fourth Proportional to 308,511.61, 462,880.70 and 220,458.17

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Solution

The fourth proportional to 308,511.61, 462,880.70 and 220,458.17 is: 330,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,511.61 : 462,880.70 = 220,458.17 : x
  2. Step 2: Convert to fraction form
    308,511.61/462,880.70 = 220,458.17/x
  3. Step 3: Cross multiply
    308,511.61x = 462,880.70 × 220,458.17
  4. Step 4: Simplify right side
    308,511.61x = 102,045,830,948.03
  5. Step 5: Solve for x
    x = 102,045,830,948.03/308,511.61
  6. Step 6: Final answer
    x = 330,768.20

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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.