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Finding the Fourth Proportional to 299,402.41, 413,160.95 and 170,328.78

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Solution

The fourth proportional to 299,402.41, 413,160.95 and 170,328.78 is: 235,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,402.41 : 413,160.95 = 170,328.78 : x
  2. Step 2: Convert to fraction form
    299,402.41/413,160.95 = 170,328.78/x
  3. Step 3: Cross multiply
    299,402.41x = 413,160.95 × 170,328.78
  4. Step 4: Simplify right side
    299,402.41x = 70,373,200,557.14
  5. Step 5: Solve for x
    x = 70,373,200,557.14/299,402.41
  6. Step 6: Final answer
    x = 235,045.54

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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.