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Finding the Fourth Proportional to 299,573.69, 413,414.51 and 170,505.81

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Solution

The fourth proportional to 299,573.69, 413,414.51 and 170,505.81 is: 235,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,573.69 : 413,414.51 = 170,505.81 : x
  2. Step 2: Convert to fraction form
    299,573.69/413,414.51 = 170,505.81/x
  3. Step 3: Cross multiply
    299,573.69x = 413,414.51 × 170,505.81
  4. Step 4: Simplify right side
    299,573.69x = 70,489,575,040.77
  5. Step 5: Solve for x
    x = 70,489,575,040.77/299,573.69
  6. Step 6: Final answer
    x = 235,299.62

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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.