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Finding the Fourth Proportional to 299,858.40, 413,820 and 172,553.04

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Solution

The fourth proportional to 299,858.40, 413,820 and 172,553.04 is: 238,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,858.40 : 413,820 = 172,553.04 : x
  2. Step 2: Convert to fraction form
    299,858.40/413,820 = 172,553.04/x
  3. Step 3: Cross multiply
    299,858.40x = 413,820 × 172,553.04
  4. Step 4: Simplify right side
    299,858.40x = 71,405,899,012.80
  5. Step 5: Solve for x
    x = 71,405,899,012.80/299,858.40
  6. Step 6: Final answer
    x = 238,132.06

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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.