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Finding the Fourth Proportional to 378,779.88, 567,628.50 and 278,150.64

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Solution

The fourth proportional to 378,779.88, 567,628.50 and 278,150.64 is: 416,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,779.88 : 567,628.50 = 278,150.64 : x
  2. Step 2: Convert to fraction form
    378,779.88/567,628.50 = 278,150.64/x
  3. Step 3: Cross multiply
    378,779.88x = 567,628.50 × 278,150.64
  4. Step 4: Simplify right side
    378,779.88x = 157,886,230,557.24
  5. Step 5: Solve for x
    x = 157,886,230,557.24/378,779.88
  6. Step 6: Final answer
    x = 416,828.45

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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.