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Finding the Fourth Proportional to 421,745.14, 582,007.01 and 228,152.79

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Solution

The fourth proportional to 421,745.14, 582,007.01 and 228,152.79 is: 314,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,745.14 : 582,007.01 = 228,152.79 : x
  2. Step 2: Convert to fraction form
    421,745.14/582,007.01 = 228,152.79/x
  3. Step 3: Cross multiply
    421,745.14x = 582,007.01 × 228,152.79
  4. Step 4: Simplify right side
    421,745.14x = 132,786,525,552.23
  5. Step 5: Solve for x
    x = 132,786,525,552.23/421,745.14
  6. Step 6: Final answer
    x = 314,850.16

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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.