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Finding the Fourth Proportional to 397,805.29, 549,216.59 and 273,837.93

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Solution

The fourth proportional to 397,805.29, 549,216.59 and 273,837.93 is: 378,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,805.29 : 549,216.59 = 273,837.93 : x
  2. Step 2: Convert to fraction form
    397,805.29/549,216.59 = 273,837.93/x
  3. Step 3: Cross multiply
    397,805.29x = 549,216.59 × 273,837.93
  4. Step 4: Simplify right side
    397,805.29x = 150,396,333,787.85
  5. Step 5: Solve for x
    x = 150,396,333,787.85/397,805.29
  6. Step 6: Final answer
    x = 378,065.19

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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.