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Finding the Fourth Proportional to 647,145.90, 970,546.05 and 197,865.90

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Solution

The fourth proportional to 647,145.90, 970,546.05 and 197,865.90 is: 296,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,145.90 : 970,546.05 = 197,865.90 : x
  2. Step 2: Convert to fraction form
    647,145.90/970,546.05 = 197,865.90/x
  3. Step 3: Cross multiply
    647,145.90x = 970,546.05 × 197,865.90
  4. Step 4: Simplify right side
    647,145.90x = 192,037,967,674.70
  5. Step 5: Solve for x
    x = 192,037,967,674.70/647,145.90
  6. Step 6: Final answer
    x = 296,746.02

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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.