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Finding the Fourth Proportional to 299,760.72, 413,685.54 and 172,455.45

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Solution

The fourth proportional to 299,760.72, 413,685.54 and 172,455.45 is: 237,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,760.72 : 413,685.54 = 172,455.45 : x
  2. Step 2: Convert to fraction form
    299,760.72/413,685.54 = 172,455.45/x
  3. Step 3: Cross multiply
    299,760.72x = 413,685.54 × 172,455.45
  4. Step 4: Simplify right side
    299,760.72x = 71,342,325,959.19
  5. Step 5: Solve for x
    x = 71,342,325,959.19/299,760.72
  6. Step 6: Final answer
    x = 237,997.58

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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.