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Finding the Fourth Proportional to 299,320.86, 413,072.39 and 170,256.00

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Solution

The fourth proportional to 299,320.86, 413,072.39 and 170,256.00 is: 234,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,320.86 : 413,072.39 = 170,256.00 : x
  2. Step 2: Convert to fraction form
    299,320.86/413,072.39 = 170,256.00/x
  3. Step 3: Cross multiply
    299,320.86x = 413,072.39 × 170,256.00
  4. Step 4: Simplify right side
    299,320.86x = 70,328,049,915.20
  5. Step 5: Solve for x
    x = 70,328,049,915.20/299,320.86
  6. Step 6: Final answer
    x = 234,958.74

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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.