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Finding the Fourth Proportional to 299,802.37, 413,769.47 and 190,871.92

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Solution

The fourth proportional to 299,802.37, 413,769.47 and 190,871.92 is: 263,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,802.37 : 413,769.47 = 190,871.92 : x
  2. Step 2: Convert to fraction form
    299,802.37/413,769.47 = 190,871.92/x
  3. Step 3: Cross multiply
    299,802.37x = 413,769.47 × 190,871.92
  4. Step 4: Simplify right side
    299,802.37x = 78,976,971,107.44
  5. Step 5: Solve for x
    x = 78,976,971,107.44/299,802.37
  6. Step 6: Final answer
    x = 263,430.11

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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.