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Finding the Fourth Proportional to 238,965.33, 329,803.64 and 143,478.17

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Solution

The fourth proportional to 238,965.33, 329,803.64 and 143,478.17 is: 198,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,965.33 : 329,803.64 = 143,478.17 : x
  2. Step 2: Convert to fraction form
    238,965.33/329,803.64 = 143,478.17/x
  3. Step 3: Cross multiply
    238,965.33x = 329,803.64 × 143,478.17
  4. Step 4: Simplify right side
    238,965.33x = 47,319,624,232.48
  5. Step 5: Solve for x
    x = 47,319,624,232.48/238,965.33
  6. Step 6: Final answer
    x = 198,018.79

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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.