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Finding the Fourth Proportional to 470,815.80, 705,057.30 and 302,076.60

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Solution

The fourth proportional to 470,815.80, 705,057.30 and 302,076.60 is: 452,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,815.80 : 705,057.30 = 302,076.60 : x
  2. Step 2: Convert to fraction form
    470,815.80/705,057.30 = 302,076.60/x
  3. Step 3: Cross multiply
    470,815.80x = 705,057.30 × 302,076.60
  4. Step 4: Simplify right side
    470,815.80x = 212,981,311,989.18
  5. Step 5: Solve for x
    x = 212,981,311,989.18/470,815.80
  6. Step 6: Final answer
    x = 452,366.53

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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.