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Finding the Fourth Proportional to 325,420.44, 488,475.72 and 288,222

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Solution

The fourth proportional to 325,420.44, 488,475.72 and 288,222 is: 432,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,420.44 : 488,475.72 = 288,222 : x
  2. Step 2: Convert to fraction form
    325,420.44/488,475.72 = 288,222/x
  3. Step 3: Cross multiply
    325,420.44x = 488,475.72 × 288,222
  4. Step 4: Simplify right side
    325,420.44x = 140,789,448,969.84
  5. Step 5: Solve for x
    x = 140,789,448,969.84/325,420.44
  6. Step 6: Final answer
    x = 432,638.62

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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.