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Finding the Fourth Proportional to 361,945.80, 499,528.32 and 209,021.28

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Solution

The fourth proportional to 361,945.80, 499,528.32 and 209,021.28 is: 288,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,945.80 : 499,528.32 = 209,021.28 : x
  2. Step 2: Convert to fraction form
    361,945.80/499,528.32 = 209,021.28/x
  3. Step 3: Cross multiply
    361,945.80x = 499,528.32 × 209,021.28
  4. Step 4: Simplify right side
    361,945.80x = 104,412,048,842.65
  5. Step 5: Solve for x
    x = 104,412,048,842.65/361,945.80
  6. Step 6: Final answer
    x = 288,474.27

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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.