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Finding the Fourth Proportional to 451,099.30, 622,437.90 and 257,418.58

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Solution

The fourth proportional to 451,099.30, 622,437.90 and 257,418.58 is: 355,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,099.30 : 622,437.90 = 257,418.58 : x
  2. Step 2: Convert to fraction form
    451,099.30/622,437.90 = 257,418.58/x
  3. Step 3: Cross multiply
    451,099.30x = 622,437.90 × 257,418.58
  4. Step 4: Simplify right side
    451,099.30x = 160,227,080,356.18
  5. Step 5: Solve for x
    x = 160,227,080,356.18/451,099.30
  6. Step 6: Final answer
    x = 355,192.48

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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.