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Finding the Fourth Proportional to 305,457.57, 458,002.22 and 136,947.42

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Solution

The fourth proportional to 305,457.57, 458,002.22 and 136,947.42 is: 205,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,457.57 : 458,002.22 = 136,947.42 : x
  2. Step 2: Convert to fraction form
    305,457.57/458,002.22 = 136,947.42/x
  3. Step 3: Cross multiply
    305,457.57x = 458,002.22 × 136,947.42
  4. Step 4: Simplify right side
    305,457.57x = 62,722,221,698.54
  5. Step 5: Solve for x
    x = 62,722,221,698.54/305,457.57
  6. Step 6: Final answer
    x = 205,338.57

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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.