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Finding the Fourth Proportional to 380,333, 570,696.24 and 193,344.68

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Solution

The fourth proportional to 380,333, 570,696.24 and 193,344.68 is: 290,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,333 : 570,696.24 = 193,344.68 : x
  2. Step 2: Convert to fraction form
    380,333/570,696.24 = 193,344.68/x
  3. Step 3: Cross multiply
    380,333x = 570,696.24 × 193,344.68
  4. Step 4: Simplify right side
    380,333x = 110,341,081,900.00
  5. Step 5: Solve for x
    x = 110,341,081,900.00/380,333
  6. Step 6: Final answer
    x = 290,117.03

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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.