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Finding the Fourth Proportional to 305,032.56, 457,456.46 and 91,743.81

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Solution

The fourth proportional to 305,032.56, 457,456.46 and 91,743.81 is: 137,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,032.56 : 457,456.46 = 91,743.81 : x
  2. Step 2: Convert to fraction form
    305,032.56/457,456.46 = 91,743.81/x
  3. Step 3: Cross multiply
    305,032.56x = 457,456.46 × 91,743.81
  4. Step 4: Simplify right side
    305,032.56x = 41,968,800,751.18
  5. Step 5: Solve for x
    x = 41,968,800,751.18/305,032.56
  6. Step 6: Final answer
    x = 137,587.94

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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.