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Finding the Fourth Proportional to 470,734.90, 649,762.77 and 300,969.70

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Solution

The fourth proportional to 470,734.90, 649,762.77 and 300,969.70 is: 415,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,734.90 : 649,762.77 = 300,969.70 : x
  2. Step 2: Convert to fraction form
    470,734.90/649,762.77 = 300,969.70/x
  3. Step 3: Cross multiply
    470,734.90x = 649,762.77 × 300,969.70
  4. Step 4: Simplify right side
    470,734.90x = 195,558,905,958.07
  5. Step 5: Solve for x
    x = 195,558,905,958.07/470,734.90
  6. Step 6: Final answer
    x = 415,433.20

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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.