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Finding the Fourth Proportional to 414,663.75, 621,995.13 and 130,379.15

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Solution

The fourth proportional to 414,663.75, 621,995.13 and 130,379.15 is: 195,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,663.75 : 621,995.13 = 130,379.15 : x
  2. Step 2: Convert to fraction form
    414,663.75/621,995.13 = 130,379.15/x
  3. Step 3: Cross multiply
    414,663.75x = 621,995.13 × 130,379.15
  4. Step 4: Simplify right side
    414,663.75x = 81,095,197,908.53
  5. Step 5: Solve for x
    x = 81,095,197,908.53/414,663.75
  6. Step 6: Final answer
    x = 195,568.57

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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.