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Finding the Fourth Proportional to 299,511, 413,278.20 and 172,162.80

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Solution

The fourth proportional to 299,511, 413,278.20 and 172,162.80 is: 237,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,511 : 413,278.20 = 172,162.80 : x
  2. Step 2: Convert to fraction form
    299,511/413,278.20 = 172,162.80/x
  3. Step 3: Cross multiply
    299,511x = 413,278.20 × 172,162.80
  4. Step 4: Simplify right side
    299,511x = 71,151,132,090.96
  5. Step 5: Solve for x
    x = 71,151,132,090.96/299,511
  6. Step 6: Final answer
    x = 237,557.66

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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.