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Finding the Fourth Proportional to 414,203.77, 621,307.17 and 126,018.22

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Solution

The fourth proportional to 414,203.77, 621,307.17 and 126,018.22 is: 189,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,203.77 : 621,307.17 = 126,018.22 : x
  2. Step 2: Convert to fraction form
    414,203.77/621,307.17 = 126,018.22/x
  3. Step 3: Cross multiply
    414,203.77x = 621,307.17 × 126,018.22
  4. Step 4: Simplify right side
    414,203.77x = 78,296,023,636.64
  5. Step 5: Solve for x
    x = 78,296,023,636.64/414,203.77
  6. Step 6: Final answer
    x = 189,027.79

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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.