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Finding the Fourth Proportional to 299,661.36, 413,545.24 and 172,337.05

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Solution

The fourth proportional to 299,661.36, 413,545.24 and 172,337.05 is: 237,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,661.36 : 413,545.24 = 172,337.05 : x
  2. Step 2: Convert to fraction form
    299,661.36/413,545.24 = 172,337.05/x
  3. Step 3: Cross multiply
    299,661.36x = 413,545.24 × 172,337.05
  4. Step 4: Simplify right side
    299,661.36x = 71,269,166,703.14
  5. Step 5: Solve for x
    x = 71,269,166,703.14/299,661.36
  6. Step 6: Final answer
    x = 237,832.36

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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.