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Finding the Fourth Proportional to 414,101.52, 621,298.08 and 203,887.08

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Solution

The fourth proportional to 414,101.52, 621,298.08 and 203,887.08 is: 305,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,101.52 : 621,298.08 = 203,887.08 : x
  2. Step 2: Convert to fraction form
    414,101.52/621,298.08 = 203,887.08/x
  3. Step 3: Cross multiply
    414,101.52x = 621,298.08 × 203,887.08
  4. Step 4: Simplify right side
    414,101.52x = 126,674,651,340.81
  5. Step 5: Solve for x
    x = 126,674,651,340.81/414,101.52
  6. Step 6: Final answer
    x = 305,902.41

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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.