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Finding the Fourth Proportional to 299,917.36, 413,886.36 and 172,590.40

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Solution

The fourth proportional to 299,917.36, 413,886.36 and 172,590.40 is: 238,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,917.36 : 413,886.36 = 172,590.40 : x
  2. Step 2: Convert to fraction form
    299,917.36/413,886.36 = 172,590.40/x
  3. Step 3: Cross multiply
    299,917.36x = 413,886.36 × 172,590.40
  4. Step 4: Simplify right side
    299,917.36x = 71,432,812,426.94
  5. Step 5: Solve for x
    x = 71,432,812,426.94/299,917.36
  6. Step 6: Final answer
    x = 238,174.98

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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.