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Finding the Fourth Proportional to 450,993.30, 622,380.78 and 257,397.14

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Solution

The fourth proportional to 450,993.30, 622,380.78 and 257,397.14 is: 355,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,993.30 : 622,380.78 = 257,397.14 : x
  2. Step 2: Convert to fraction form
    450,993.30/622,380.78 = 257,397.14/x
  3. Step 3: Cross multiply
    450,993.30x = 622,380.78 × 257,397.14
  4. Step 4: Simplify right side
    450,993.30x = 160,199,032,762.97
  5. Step 5: Solve for x
    x = 160,199,032,762.97/450,993.30
  6. Step 6: Final answer
    x = 355,213.78

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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.