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Finding the Fourth Proportional to 470,363.44, 649,370.78 and 309,685.57

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Solution

The fourth proportional to 470,363.44, 649,370.78 and 309,685.57 is: 427,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,363.44 : 649,370.78 = 309,685.57 : x
  2. Step 2: Convert to fraction form
    470,363.44/649,370.78 = 309,685.57/x
  3. Step 3: Cross multiply
    470,363.44x = 649,370.78 × 309,685.57
  4. Step 4: Simplify right side
    470,363.44x = 201,100,757,673.01
  5. Step 5: Solve for x
    x = 201,100,757,673.01/470,363.44
  6. Step 6: Final answer
    x = 427,543.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.