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Finding the Fourth Proportional to 470,242.69, 649,203.90 and 309,564.82

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Solution

The fourth proportional to 470,242.69, 649,203.90 and 309,564.82 is: 427,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,242.69 : 649,203.90 = 309,564.82 : x
  2. Step 2: Convert to fraction form
    470,242.69/649,203.90 = 309,564.82/x
  3. Step 3: Cross multiply
    470,242.69x = 649,203.90 × 309,564.82
  4. Step 4: Simplify right side
    470,242.69x = 200,970,688,446.80
  5. Step 5: Solve for x
    x = 200,970,688,446.80/470,242.69
  6. Step 6: Final answer
    x = 427,376.53

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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.