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Finding the Fourth Proportional to 414,543.20, 621,814.80 and 148,287.56

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Solution

The fourth proportional to 414,543.20, 621,814.80 and 148,287.56 is: 222,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543.20 : 621,814.80 = 148,287.56 : x
  2. Step 2: Convert to fraction form
    414,543.20/621,814.80 = 148,287.56/x
  3. Step 3: Cross multiply
    414,543.20x = 621,814.80 × 148,287.56
  4. Step 4: Simplify right side
    414,543.20x = 92,207,399,463.89
  5. Step 5: Solve for x
    x = 92,207,399,463.89/414,543.20
  6. Step 6: Final answer
    x = 222,431.34

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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.