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Finding the Fourth Proportional to 647,821.70, 970,819.12 and 305,900.32

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Solution

The fourth proportional to 647,821.70, 970,819.12 and 305,900.32 is: 458,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,821.70 : 970,819.12 = 305,900.32 : x
  2. Step 2: Convert to fraction form
    647,821.70/970,819.12 = 305,900.32/x
  3. Step 3: Cross multiply
    647,821.70x = 970,819.12 × 305,900.32
  4. Step 4: Simplify right side
    647,821.70x = 296,973,879,470.12
  5. Step 5: Solve for x
    x = 296,973,879,470.12/647,821.70
  6. Step 6: Final answer
    x = 458,419.16

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1.5x scale

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.