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Finding the Fourth Proportional to 414,987.12, 622,502.75 and 130,699.90

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Solution

The fourth proportional to 414,987.12, 622,502.75 and 130,699.90 is: 196,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,987.12 : 622,502.75 = 130,699.90 : x
  2. Step 2: Convert to fraction form
    414,987.12/622,502.75 = 130,699.90/x
  3. Step 3: Cross multiply
    414,987.12x = 622,502.75 × 130,699.90
  4. Step 4: Simplify right side
    414,987.12x = 81,361,047,174.73
  5. Step 5: Solve for x
    x = 81,361,047,174.73/414,987.12
  6. Step 6: Final answer
    x = 196,056.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.