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Finding the Fourth Proportional to 419,779.68, 579,308.16 and 228,805.44

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Solution

The fourth proportional to 419,779.68, 579,308.16 and 228,805.44 is: 315,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,779.68 : 579,308.16 = 228,805.44 : x
  2. Step 2: Convert to fraction form
    419,779.68/579,308.16 = 228,805.44/x
  3. Step 3: Cross multiply
    419,779.68x = 579,308.16 × 228,805.44
  4. Step 4: Simplify right side
    419,779.68x = 132,548,858,444.39
  5. Step 5: Solve for x
    x = 132,548,858,444.39/419,779.68
  6. Step 6: Final answer
    x = 315,758.16

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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.