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Finding the Fourth Proportional to 299,581.74, 413,294.40 and 172,230.30

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Solution

The fourth proportional to 299,581.74, 413,294.40 and 172,230.30 is: 237,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,581.74 : 413,294.40 = 172,230.30 : x
  2. Step 2: Convert to fraction form
    299,581.74/413,294.40 = 172,230.30/x
  3. Step 3: Cross multiply
    299,581.74x = 413,294.40 × 172,230.30
  4. Step 4: Simplify right side
    299,581.74x = 71,181,818,500.32
  5. Step 5: Solve for x
    x = 71,181,818,500.32/299,581.74
  6. Step 6: Final answer
    x = 237,604.00

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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.