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Finding the Fourth Proportional to 308,270.50, 462,405.76 and 86,654.50

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Solution

The fourth proportional to 308,270.50, 462,405.76 and 86,654.50 is: 129,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,270.50 : 462,405.76 = 86,654.50 : x
  2. Step 2: Convert to fraction form
    308,270.50/462,405.76 = 86,654.50/x
  3. Step 3: Cross multiply
    308,270.50x = 462,405.76 × 86,654.50
  4. Step 4: Simplify right side
    308,270.50x = 40,069,539,929.92
  5. Step 5: Solve for x
    x = 40,069,539,929.92/308,270.50
  6. Step 6: Final answer
    x = 129,981.75

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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.