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Finding the Fourth Proportional to 508,351.08, 762,398.37 and 208,914.36

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Solution

The fourth proportional to 508,351.08, 762,398.37 and 208,914.36 is: 313,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,351.08 : 762,398.37 = 208,914.36 : x
  2. Step 2: Convert to fraction form
    508,351.08/762,398.37 = 208,914.36/x
  3. Step 3: Cross multiply
    508,351.08x = 762,398.37 × 208,914.36
  4. Step 4: Simplify right side
    508,351.08x = 159,275,967,533.59
  5. Step 5: Solve for x
    x = 159,275,967,533.59/508,351.08
  6. Step 6: Final answer
    x = 313,318.83

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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.