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Finding the Fourth Proportional to 470,085.60, 705,245.04 and 220,476

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Solution

The fourth proportional to 470,085.60, 705,245.04 and 220,476 is: 330,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,085.60 : 705,245.04 = 220,476 : x
  2. Step 2: Convert to fraction form
    470,085.60/705,245.04 = 220,476/x
  3. Step 3: Cross multiply
    470,085.60x = 705,245.04 × 220,476
  4. Step 4: Simplify right side
    470,085.60x = 155,489,605,439.04
  5. Step 5: Solve for x
    x = 155,489,605,439.04/470,085.60
  6. Step 6: Final answer
    x = 330,768.71

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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.