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Finding the Fourth Proportional to 598,630.89, 826,128 and 326,716.23

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Solution

The fourth proportional to 598,630.89, 826,128 and 326,716.23 is: 450,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,630.89 : 826,128 = 326,716.23 : x
  2. Step 2: Convert to fraction form
    598,630.89/826,128 = 326,716.23/x
  3. Step 3: Cross multiply
    598,630.89x = 826,128 × 326,716.23
  4. Step 4: Simplify right side
    598,630.89x = 269,909,425,657.44
  5. Step 5: Solve for x
    x = 269,909,425,657.44/598,630.89
  6. Step 6: Final answer
    x = 450,877.88

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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.