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Finding the Fourth Proportional to 324,211.61, 447,507.04 and 188,306.64

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Solution

The fourth proportional to 324,211.61, 447,507.04 and 188,306.64 is: 259,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,211.61 : 447,507.04 = 188,306.64 : x
  2. Step 2: Convert to fraction form
    324,211.61/447,507.04 = 188,306.64/x
  3. Step 3: Cross multiply
    324,211.61x = 447,507.04 × 188,306.64
  4. Step 4: Simplify right side
    324,211.61x = 84,268,547,078.75
  5. Step 5: Solve for x
    x = 84,268,547,078.75/324,211.61
  6. Step 6: Final answer
    x = 259,918.35

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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.