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Finding the Fourth Proportional to 324,019.83, 447,168.87 and 180,783

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Solution

The fourth proportional to 324,019.83, 447,168.87 and 180,783 is: 249,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,019.83 : 447,168.87 = 180,783 : x
  2. Step 2: Convert to fraction form
    324,019.83/447,168.87 = 180,783/x
  3. Step 3: Cross multiply
    324,019.83x = 447,168.87 × 180,783
  4. Step 4: Simplify right side
    324,019.83x = 80,840,529,825.21
  5. Step 5: Solve for x
    x = 80,840,529,825.21/324,019.83
  6. Step 6: Final answer
    x = 249,492.54

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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.