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Finding the Fourth Proportional to 421,894.05, 582,143.81 and 240,619.16

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Solution

The fourth proportional to 421,894.05, 582,143.81 and 240,619.16 is: 332,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,894.05 : 582,143.81 = 240,619.16 : x
  2. Step 2: Convert to fraction form
    421,894.05/582,143.81 = 240,619.16/x
  3. Step 3: Cross multiply
    421,894.05x = 582,143.81 × 240,619.16
  4. Step 4: Simplify right side
    421,894.05x = 140,074,950,447.59
  5. Step 5: Solve for x
    x = 140,074,950,447.59/421,894.05
  6. Step 6: Final answer
    x = 332,014.52

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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.