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Finding the Fourth Proportional to 380,332, 570,694.74 and 193,343.68

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Solution

The fourth proportional to 380,332, 570,694.74 and 193,343.68 is: 290,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,332 : 570,694.74 = 193,343.68 : x
  2. Step 2: Convert to fraction form
    380,332/570,694.74 = 193,343.68/x
  3. Step 3: Cross multiply
    380,332x = 570,694.74 × 193,343.68
  4. Step 4: Simplify right side
    380,332x = 110,340,221,188.24
  5. Step 5: Solve for x
    x = 110,340,221,188.24/380,332
  6. Step 6: Final answer
    x = 290,115.53

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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.