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Finding the Fourth Proportional to 213,384.48, 320,076.96 and 55,612.80

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Solution

The fourth proportional to 213,384.48, 320,076.96 and 55,612.80 is: 83,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,384.48 : 320,076.96 = 55,612.80 : x
  2. Step 2: Convert to fraction form
    213,384.48/320,076.96 = 55,612.80/x
  3. Step 3: Cross multiply
    213,384.48x = 320,076.96 × 55,612.80
  4. Step 4: Simplify right side
    213,384.48x = 17,800,375,961.09
  5. Step 5: Solve for x
    x = 17,800,375,961.09/213,384.48
  6. Step 6: Final answer
    x = 83,419.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.