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Finding the Fourth Proportional to 305,323.43, 457,986.31 and 127,705.84

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Solution

The fourth proportional to 305,323.43, 457,986.31 and 127,705.84 is: 191,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,323.43 : 457,986.31 = 127,705.84 : x
  2. Step 2: Convert to fraction form
    305,323.43/457,986.31 = 127,705.84/x
  3. Step 3: Cross multiply
    305,323.43x = 457,986.31 × 127,705.84
  4. Step 4: Simplify right side
    305,323.43x = 58,487,527,148.84
  5. Step 5: Solve for x
    x = 58,487,527,148.84/305,323.43
  6. Step 6: Final answer
    x = 191,559.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.