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Finding the Fourth Proportional to 299,987.28, 413,967.24 and 165,825.36

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Solution

The fourth proportional to 299,987.28, 413,967.24 and 165,825.36 is: 228,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,987.28 : 413,967.24 = 165,825.36 : x
  2. Step 2: Convert to fraction form
    299,987.28/413,967.24 = 165,825.36/x
  3. Step 3: Cross multiply
    299,987.28x = 413,967.24 × 165,825.36
  4. Step 4: Simplify right side
    299,987.28x = 68,646,266,601.21
  5. Step 5: Solve for x
    x = 68,646,266,601.21/299,987.28
  6. Step 6: Final answer
    x = 228,830.59

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1.5x scale

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.