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Finding the Fourth Proportional to 419,841, 579,378.96 and 228,853.80

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Solution

The fourth proportional to 419,841, 579,378.96 and 228,853.80 is: 315,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,841 : 579,378.96 = 228,853.80 : x
  2. Step 2: Convert to fraction form
    419,841/579,378.96 = 228,853.80/x
  3. Step 3: Cross multiply
    419,841x = 579,378.96 × 228,853.80
  4. Step 4: Simplify right side
    419,841x = 132,593,076,636.05
  5. Step 5: Solve for x
    x = 132,593,076,636.05/419,841
  6. Step 6: Final answer
    x = 315,817.36

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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.