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Finding the Fourth Proportional to 307,300.80, 423,924.36 and 205,351.32

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Solution

The fourth proportional to 307,300.80, 423,924.36 and 205,351.32 is: 283,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,300.80 : 423,924.36 = 205,351.32 : x
  2. Step 2: Convert to fraction form
    307,300.80/423,924.36 = 205,351.32/x
  3. Step 3: Cross multiply
    307,300.80x = 423,924.36 × 205,351.32
  4. Step 4: Simplify right side
    307,300.80x = 87,053,426,906.16
  5. Step 5: Solve for x
    x = 87,053,426,906.16/307,300.80
  6. Step 6: Final answer
    x = 283,284.09

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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.