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Finding the Fourth Proportional to 386,779.86, 580,343.82 and 209,078.82

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Solution

The fourth proportional to 386,779.86, 580,343.82 and 209,078.82 is: 313,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,779.86 : 580,343.82 = 209,078.82 : x
  2. Step 2: Convert to fraction form
    386,779.86/580,343.82 = 209,078.82/x
  3. Step 3: Cross multiply
    386,779.86x = 580,343.82 × 209,078.82
  4. Step 4: Simplify right side
    386,779.86x = 121,337,601,079.89
  5. Step 5: Solve for x
    x = 121,337,601,079.89/386,779.86
  6. Step 6: Final answer
    x = 313,712.30

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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.