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Finding the Fourth Proportional to 308,374.83, 462,965.10 and 247,617.54

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Solution

The fourth proportional to 308,374.83, 462,965.10 and 247,617.54 is: 371,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,374.83 : 462,965.10 = 247,617.54 : x
  2. Step 2: Convert to fraction form
    308,374.83/462,965.10 = 247,617.54/x
  3. Step 3: Cross multiply
    308,374.83x = 462,965.10 × 247,617.54
  4. Step 4: Simplify right side
    308,374.83x = 114,638,279,167.85
  5. Step 5: Solve for x
    x = 114,638,279,167.85/308,374.83
  6. Step 6: Final answer
    x = 371,749.79

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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.