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Finding the Fourth Proportional to 299,965.74, 413,978.32 and 170,943.68

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Solution

The fourth proportional to 299,965.74, 413,978.32 and 170,943.68 is: 235,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,965.74 : 413,978.32 = 170,943.68 : x
  2. Step 2: Convert to fraction form
    299,965.74/413,978.32 = 170,943.68/x
  3. Step 3: Cross multiply
    299,965.74x = 413,978.32 × 170,943.68
  4. Step 4: Simplify right side
    299,965.74x = 70,766,975,391.13
  5. Step 5: Solve for x
    x = 70,766,975,391.13/299,965.74
  6. Step 6: Final answer
    x = 235,916.86

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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.