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Finding the Fourth Proportional to 299,825.76, 413,055.90 and 209,016.48

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Solution

The fourth proportional to 299,825.76, 413,055.90 and 209,016.48 is: 287,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,825.76 : 413,055.90 = 209,016.48 : x
  2. Step 2: Convert to fraction form
    299,825.76/413,055.90 = 209,016.48/x
  3. Step 3: Cross multiply
    299,825.76x = 413,055.90 × 209,016.48
  4. Step 4: Simplify right side
    299,825.76x = 86,335,490,261.23
  5. Step 5: Solve for x
    x = 86,335,490,261.23/299,825.76
  6. Step 6: Final answer
    x = 287,952.21

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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.