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Finding the Fourth Proportional to 354,178, 488,796.36 and 195,232.72

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Solution

The fourth proportional to 354,178, 488,796.36 and 195,232.72 is: 269,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,178 : 488,796.36 = 195,232.72 : x
  2. Step 2: Convert to fraction form
    354,178/488,796.36 = 195,232.72/x
  3. Step 3: Cross multiply
    354,178x = 488,796.36 × 195,232.72
  4. Step 4: Simplify right side
    354,178x = 95,429,042,888.90
  5. Step 5: Solve for x
    x = 95,429,042,888.90/354,178
  6. Step 6: Final answer
    x = 269,438.09

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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.