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Finding the Fourth Proportional to 647,819.70, 970,816.12 and 305,898.32

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Solution

The fourth proportional to 647,819.70, 970,816.12 and 305,898.32 is: 458,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,819.70 : 970,816.12 = 305,898.32 : x
  2. Step 2: Convert to fraction form
    647,819.70/970,816.12 = 305,898.32/x
  3. Step 3: Cross multiply
    647,819.70x = 970,816.12 × 305,898.32
  4. Step 4: Simplify right side
    647,819.70x = 296,971,020,136.92
  5. Step 5: Solve for x
    x = 296,971,020,136.92/647,819.70
  6. Step 6: Final answer
    x = 458,416.16

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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.