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Finding the Fourth Proportional to 451,205.64, 622,430.87 and 305,962.31

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Solution

The fourth proportional to 451,205.64, 622,430.87 and 305,962.31 is: 422,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,205.64 : 622,430.87 = 305,962.31 : x
  2. Step 2: Convert to fraction form
    451,205.64/622,430.87 = 305,962.31/x
  3. Step 3: Cross multiply
    451,205.64x = 622,430.87 × 305,962.31
  4. Step 4: Simplify right side
    451,205.64x = 190,440,382,158.54
  5. Step 5: Solve for x
    x = 190,440,382,158.54/451,205.64
  6. Step 6: Final answer
    x = 422,070.04

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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.