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Finding the Fourth Proportional to 305,265, 421,265.70 and 171,129

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Solution

The fourth proportional to 305,265, 421,265.70 and 171,129 is: 236,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,265 : 421,265.70 = 171,129 : x
  2. Step 2: Convert to fraction form
    305,265/421,265.70 = 171,129/x
  3. Step 3: Cross multiply
    305,265x = 421,265.70 × 171,129
  4. Step 4: Simplify right side
    305,265x = 72,090,777,975.30
  5. Step 5: Solve for x
    x = 72,090,777,975.30/305,265
  6. Step 6: Final answer
    x = 236,158.02

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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.