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Finding the Fourth Proportional to 231,294.93, 319,090.28 and 180,218.97

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Solution

The fourth proportional to 231,294.93, 319,090.28 and 180,218.97 is: 248,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,294.93 : 319,090.28 = 180,218.97 : x
  2. Step 2: Convert to fraction form
    231,294.93/319,090.28 = 180,218.97/x
  3. Step 3: Cross multiply
    231,294.93x = 319,090.28 × 180,218.97
  4. Step 4: Simplify right side
    231,294.93x = 57,506,122,049.16
  5. Step 5: Solve for x
    x = 57,506,122,049.16/231,294.93
  6. Step 6: Final answer
    x = 248,626.81

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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.