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Finding the Fourth Proportional to 380,080.20, 570,120.30 and 202,495.80

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Solution

The fourth proportional to 380,080.20, 570,120.30 and 202,495.80 is: 303,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,080.20 : 570,120.30 = 202,495.80 : x
  2. Step 2: Convert to fraction form
    380,080.20/570,120.30 = 202,495.80/x
  3. Step 3: Cross multiply
    380,080.20x = 570,120.30 × 202,495.80
  4. Step 4: Simplify right side
    380,080.20x = 115,446,966,244.74
  5. Step 5: Solve for x
    x = 115,446,966,244.74/380,080.20
  6. Step 6: Final answer
    x = 303,743.70

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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.