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Finding the Fourth Proportional to 289,186.29, 399,001.41 and 166,648.68

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Solution

The fourth proportional to 289,186.29, 399,001.41 and 166,648.68 is: 229,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,186.29 : 399,001.41 = 166,648.68 : x
  2. Step 2: Convert to fraction form
    289,186.29/399,001.41 = 166,648.68/x
  3. Step 3: Cross multiply
    289,186.29x = 399,001.41 × 166,648.68
  4. Step 4: Simplify right side
    289,186.29x = 66,493,058,294.64
  5. Step 5: Solve for x
    x = 66,493,058,294.64/289,186.29
  6. Step 6: Final answer
    x = 229,931.57

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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.