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Finding the Fourth Proportional to 451,084.51, 622,343.36 and 257,353.05

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Solution

The fourth proportional to 451,084.51, 622,343.36 and 257,353.05 is: 355,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,084.51 : 622,343.36 = 257,353.05 : x
  2. Step 2: Convert to fraction form
    451,084.51/622,343.36 = 257,353.05/x
  3. Step 3: Cross multiply
    451,084.51x = 622,343.36 × 257,353.05
  4. Step 4: Simplify right side
    451,084.51x = 160,161,961,521.56
  5. Step 5: Solve for x
    x = 160,161,961,521.56/451,084.51
  6. Step 6: Final answer
    x = 355,059.77

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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.