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Finding the Fourth Proportional to 384,375.20, 575,007.60 and 337,719.20

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Solution

The fourth proportional to 384,375.20, 575,007.60 and 337,719.20 is: 505,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,375.20 : 575,007.60 = 337,719.20 : x
  2. Step 2: Convert to fraction form
    384,375.20/575,007.60 = 337,719.20/x
  3. Step 3: Cross multiply
    384,375.20x = 575,007.60 × 337,719.20
  4. Step 4: Simplify right side
    384,375.20x = 194,191,106,665.92
  5. Step 5: Solve for x
    x = 194,191,106,665.92/384,375.20
  6. Step 6: Final answer
    x = 505,212.37

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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.