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Finding the Fourth Proportional to 308,121.60, 462,218.40 and 97,780.80

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Solution

The fourth proportional to 308,121.60, 462,218.40 and 97,780.80 is: 146,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,121.60 : 462,218.40 = 97,780.80 : x
  2. Step 2: Convert to fraction form
    308,121.60/462,218.40 = 97,780.80/x
  3. Step 3: Cross multiply
    308,121.60x = 462,218.40 × 97,780.80
  4. Step 4: Simplify right side
    308,121.60x = 45,196,084,926.72
  5. Step 5: Solve for x
    x = 45,196,084,926.72/308,121.60
  6. Step 6: Final answer
    x = 146,682.62

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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.