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Finding the Fourth Proportional to 305,728, 421,904.64 and 171,592

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Solution

The fourth proportional to 305,728, 421,904.64 and 171,592 is: 236,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,728 : 421,904.64 = 171,592 : x
  2. Step 2: Convert to fraction form
    305,728/421,904.64 = 171,592/x
  3. Step 3: Cross multiply
    305,728x = 421,904.64 × 171,592
  4. Step 4: Simplify right side
    305,728x = 72,395,460,986.88
  5. Step 5: Solve for x
    x = 72,395,460,986.88/305,728
  6. Step 6: Final answer
    x = 236,796.96

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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.