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Finding the Fourth Proportional to 238,203.12, 328,736.26 and 157,491.88

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Solution

The fourth proportional to 238,203.12, 328,736.26 and 157,491.88 is: 217,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,203.12 : 328,736.26 = 157,491.88 : x
  2. Step 2: Convert to fraction form
    238,203.12/328,736.26 = 157,491.88/x
  3. Step 3: Cross multiply
    238,203.12x = 328,736.26 × 157,491.88
  4. Step 4: Simplify right side
    238,203.12x = 51,773,291,611.57
  5. Step 5: Solve for x
    x = 51,773,291,611.57/238,203.12
  6. Step 6: Final answer
    x = 217,349.34

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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.