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Finding the Fourth Proportional to 305,274.93, 421,293.45 and 169,300.77

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Solution

The fourth proportional to 305,274.93, 421,293.45 and 169,300.77 is: 233,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274.93 : 421,293.45 = 169,300.77 : x
  2. Step 2: Convert to fraction form
    305,274.93/421,293.45 = 169,300.77/x
  3. Step 3: Cross multiply
    305,274.93x = 421,293.45 × 169,300.77
  4. Step 4: Simplify right side
    305,274.93x = 71,325,304,535.98
  5. Step 5: Solve for x
    x = 71,325,304,535.98/305,274.93
  6. Step 6: Final answer
    x = 233,642.85

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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.