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Finding the Fourth Proportional to 366,978.30, 550,467.45 and 310,991.10

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Solution

The fourth proportional to 366,978.30, 550,467.45 and 310,991.10 is: 466,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978.30 : 550,467.45 = 310,991.10 : x
  2. Step 2: Convert to fraction form
    366,978.30/550,467.45 = 310,991.10/x
  3. Step 3: Cross multiply
    366,978.30x = 550,467.45 × 310,991.10
  4. Step 4: Simplify right side
    366,978.30x = 171,190,477,789.70
  5. Step 5: Solve for x
    x = 171,190,477,789.70/366,978.30
  6. Step 6: Final answer
    x = 466,486.65

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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.