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Finding the Fourth Proportional to 238,405, 328,987.14 and 142,893.16

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Solution

The fourth proportional to 238,405, 328,987.14 and 142,893.16 is: 197,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,405 : 328,987.14 = 142,893.16 : x
  2. Step 2: Convert to fraction form
    238,405/328,987.14 = 142,893.16/x
  3. Step 3: Cross multiply
    238,405x = 328,987.14 × 142,893.16
  4. Step 4: Simplify right side
    238,405x = 47,010,012,033.96
  5. Step 5: Solve for x
    x = 47,010,012,033.96/238,405
  6. Step 6: Final answer
    x = 197,185.51

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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.