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Finding the Fourth Proportional to 380,575.20, 570,171.60 and 310,072.80

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Solution

The fourth proportional to 380,575.20, 570,171.60 and 310,072.80 is: 464,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,575.20 : 570,171.60 = 310,072.80 : x
  2. Step 2: Convert to fraction form
    380,575.20/570,171.60 = 310,072.80/x
  3. Step 3: Cross multiply
    380,575.20x = 570,171.60 × 310,072.80
  4. Step 4: Simplify right side
    380,575.20x = 176,794,704,492.48
  5. Step 5: Solve for x
    x = 176,794,704,492.48/380,575.20
  6. Step 6: Final answer
    x = 464,546.05

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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.