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Finding the Fourth Proportional to 380,571.20, 570,165.60 and 310,068.80

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Solution

The fourth proportional to 380,571.20, 570,165.60 and 310,068.80 is: 464,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,571.20 : 570,165.60 = 310,068.80 : x
  2. Step 2: Convert to fraction form
    380,571.20/570,165.60 = 310,068.80/x
  3. Step 3: Cross multiply
    380,571.20x = 570,165.60 × 310,068.80
  4. Step 4: Simplify right side
    380,571.20x = 176,790,563,393.28
  5. Step 5: Solve for x
    x = 176,790,563,393.28/380,571.20
  6. Step 6: Final answer
    x = 464,540.05

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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.