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Finding the Fourth Proportional to 302,399.87, 417,311.86 and 164,579.31

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Solution

The fourth proportional to 302,399.87, 417,311.86 and 164,579.31 is: 227,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,399.87 : 417,311.86 = 164,579.31 : x
  2. Step 2: Convert to fraction form
    302,399.87/417,311.86 = 164,579.31/x
  3. Step 3: Cross multiply
    302,399.87x = 417,311.86 × 164,579.31
  4. Step 4: Simplify right side
    302,399.87x = 68,680,898,194.00
  5. Step 5: Solve for x
    x = 68,680,898,194.00/302,399.87
  6. Step 6: Final answer
    x = 227,119.47

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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.