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Finding the Fourth Proportional to 419,779.78, 579,308.24 and 228,805.54

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Solution

The fourth proportional to 419,779.78, 579,308.24 and 228,805.54 is: 315,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,779.78 : 579,308.24 = 228,805.54 : x
  2. Step 2: Convert to fraction form
    419,779.78/579,308.24 = 228,805.54/x
  3. Step 3: Cross multiply
    419,779.78x = 579,308.24 × 228,805.54
  4. Step 4: Simplify right side
    419,779.78x = 132,548,934,679.65
  5. Step 5: Solve for x
    x = 132,548,934,679.65/419,779.78
  6. Step 6: Final answer
    x = 315,758.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.