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Finding the Fourth Proportional to 308,406, 462,374.58 and 213,383.58

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Solution

The fourth proportional to 308,406, 462,374.58 and 213,383.58 is: 319,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,406 : 462,374.58 = 213,383.58 : x
  2. Step 2: Convert to fraction form
    308,406/462,374.58 = 213,383.58/x
  3. Step 3: Cross multiply
    308,406x = 462,374.58 × 213,383.58
  4. Step 4: Simplify right side
    308,406x = 98,663,143,181.40
  5. Step 5: Solve for x
    x = 98,663,143,181.40/308,406
  6. Step 6: Final answer
    x = 319,913.18

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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.