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Finding the Fourth Proportional to 380,356.49, 570,823.83 and 140,697.14

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Solution

The fourth proportional to 380,356.49, 570,823.83 and 140,697.14 is: 211,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.49 : 570,823.83 = 140,697.14 : x
  2. Step 2: Convert to fraction form
    380,356.49/570,823.83 = 140,697.14/x
  3. Step 3: Cross multiply
    380,356.49x = 570,823.83 × 140,697.14
  4. Step 4: Simplify right side
    380,356.49x = 80,313,277,470.73
  5. Step 5: Solve for x
    x = 80,313,277,470.73/380,356.49
  6. Step 6: Final answer
    x = 211,152.64

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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.