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Finding the Fourth Proportional to 299,806.72, 413,749.29 and 172,501.72

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Solution

The fourth proportional to 299,806.72, 413,749.29 and 172,501.72 is: 238,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,806.72 : 413,749.29 = 172,501.72 : x
  2. Step 2: Convert to fraction form
    299,806.72/413,749.29 = 172,501.72/x
  3. Step 3: Cross multiply
    299,806.72x = 413,749.29 × 172,501.72
  4. Step 4: Simplify right side
    299,806.72x = 71,372,464,173.78
  5. Step 5: Solve for x
    x = 71,372,464,173.78/299,806.72
  6. Step 6: Final answer
    x = 238,061.59

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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.