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Finding the Fourth Proportional to 325,421.44, 488,477.22 and 288,223

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Solution

The fourth proportional to 325,421.44, 488,477.22 and 288,223 is: 432,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,421.44 : 488,477.22 = 288,223 : x
  2. Step 2: Convert to fraction form
    325,421.44/488,477.22 = 288,223/x
  3. Step 3: Cross multiply
    325,421.44x = 488,477.22 × 288,223
  4. Step 4: Simplify right side
    325,421.44x = 140,790,369,780.06
  5. Step 5: Solve for x
    x = 140,790,369,780.06/325,421.44
  6. Step 6: Final answer
    x = 432,640.12

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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.