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Finding the Fourth Proportional to 285,444, 393,912.72 and 172,266.75

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Solution

The fourth proportional to 285,444, 393,912.72 and 172,266.75 is: 237,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,444 : 393,912.72 = 172,266.75 : x
  2. Step 2: Convert to fraction form
    285,444/393,912.72 = 172,266.75/x
  3. Step 3: Cross multiply
    285,444x = 393,912.72 × 172,266.75
  4. Step 4: Simplify right side
    285,444x = 67,858,064,058.06
  5. Step 5: Solve for x
    x = 67,858,064,058.06/285,444
  6. Step 6: Final answer
    x = 237,728.12

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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.