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Finding the Fourth Proportional to 331,864.47, 458,012.31 and 188,646.03

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Solution

The fourth proportional to 331,864.47, 458,012.31 and 188,646.03 is: 260,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,864.47 : 458,012.31 = 188,646.03 : x
  2. Step 2: Convert to fraction form
    331,864.47/458,012.31 = 188,646.03/x
  3. Step 3: Cross multiply
    331,864.47x = 458,012.31 × 188,646.03
  4. Step 4: Simplify right side
    331,864.47x = 86,402,203,972.63
  5. Step 5: Solve for x
    x = 86,402,203,972.63/331,864.47
  6. Step 6: Final answer
    x = 260,353.88

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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.