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Finding the Fourth Proportional to 299,664.51, 413,549.60 and 172,340.21

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Solution

The fourth proportional to 299,664.51, 413,549.60 and 172,340.21 is: 237,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664.51 : 413,549.60 = 172,340.21 : x
  2. Step 2: Convert to fraction form
    299,664.51/413,549.60 = 172,340.21/x
  3. Step 3: Cross multiply
    299,664.51x = 413,549.60 × 172,340.21
  4. Step 4: Simplify right side
    299,664.51x = 71,271,224,909.42
  5. Step 5: Solve for x
    x = 71,271,224,909.42/299,664.51
  6. Step 6: Final answer
    x = 237,836.72

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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.