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Finding the Fourth Proportional to 378,780.86, 567,438.62 and 317,260.72

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Solution

The fourth proportional to 378,780.86, 567,438.62 and 317,260.72 is: 475,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,780.86 : 567,438.62 = 317,260.72 : x
  2. Step 2: Convert to fraction form
    378,780.86/567,438.62 = 317,260.72/x
  3. Step 3: Cross multiply
    378,780.86x = 567,438.62 × 317,260.72
  4. Step 4: Simplify right side
    378,780.86x = 180,025,985,137.01
  5. Step 5: Solve for x
    x = 180,025,985,137.01/378,780.86
  6. Step 6: Final answer
    x = 475,277.41

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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.