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Finding the Fourth Proportional to 308,532.96, 462,052.32 and 213,496.72

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Solution

The fourth proportional to 308,532.96, 462,052.32 and 213,496.72 is: 319,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,532.96 : 462,052.32 = 213,496.72 : x
  2. Step 2: Convert to fraction form
    308,532.96/462,052.32 = 213,496.72/x
  3. Step 3: Cross multiply
    308,532.96x = 462,052.32 × 213,496.72
  4. Step 4: Simplify right side
    308,532.96x = 98,646,654,788.39
  5. Step 5: Solve for x
    x = 98,646,654,788.39/308,532.96
  6. Step 6: Final answer
    x = 319,728.09

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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.