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Finding the Fourth Proportional to 647,168.20, 971,189.70 and 362,858.20

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Solution

The fourth proportional to 647,168.20, 971,189.70 and 362,858.20 is: 544,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,168.20 : 971,189.70 = 362,858.20 : x
  2. Step 2: Convert to fraction form
    647,168.20/971,189.70 = 362,858.20/x
  3. Step 3: Cross multiply
    647,168.20x = 971,189.70 × 362,858.20
  4. Step 4: Simplify right side
    647,168.20x = 352,404,146,400.54
  5. Step 5: Solve for x
    x = 352,404,146,400.54/647,168.20
  6. Step 6: Final answer
    x = 544,532.54

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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.