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Finding the Fourth Proportional to 501,989.34, 692,544.96 and 320,654.24

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Solution

The fourth proportional to 501,989.34, 692,544.96 and 320,654.24 is: 442,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,989.34 : 692,544.96 = 320,654.24 : x
  2. Step 2: Convert to fraction form
    501,989.34/692,544.96 = 320,654.24/x
  3. Step 3: Cross multiply
    501,989.34x = 692,544.96 × 320,654.24
  4. Step 4: Simplify right side
    501,989.34x = 222,067,474,351.91
  5. Step 5: Solve for x
    x = 222,067,474,351.91/501,989.34
  6. Step 6: Final answer
    x = 442,374.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.