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Finding the Fourth Proportional to 299,678.02, 413,567.98 and 172,353.65

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Solution

The fourth proportional to 299,678.02, 413,567.98 and 172,353.65 is: 237,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,678.02 : 413,567.98 = 172,353.65 : x
  2. Step 2: Convert to fraction form
    299,678.02/413,567.98 = 172,353.65/x
  3. Step 3: Cross multiply
    299,678.02x = 413,567.98 × 172,353.65
  4. Step 4: Simplify right side
    299,678.02x = 71,279,948,377.40
  5. Step 5: Solve for x
    x = 71,279,948,377.40/299,678.02
  6. Step 6: Final answer
    x = 237,855.11

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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.