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Finding the Fourth Proportional to 285,304.36, 428,054.14 and 107,862.44

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Solution

The fourth proportional to 285,304.36, 428,054.14 and 107,862.44 is: 161,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,304.36 : 428,054.14 = 107,862.44 : x
  2. Step 2: Convert to fraction form
    285,304.36/428,054.14 = 107,862.44/x
  3. Step 3: Cross multiply
    285,304.36x = 428,054.14 × 107,862.44
  4. Step 4: Simplify right side
    285,304.36x = 46,170,963,992.50
  5. Step 5: Solve for x
    x = 46,170,963,992.50/285,304.36
  6. Step 6: Final answer
    x = 161,830.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.