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Finding the Fourth Proportional to 470,230, 649,115.96 and 317,475

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Solution

The fourth proportional to 470,230, 649,115.96 and 317,475 is: 438,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230 : 649,115.96 = 317,475 : x
  2. Step 2: Convert to fraction form
    470,230/649,115.96 = 317,475/x
  3. Step 3: Cross multiply
    470,230x = 649,115.96 × 317,475
  4. Step 4: Simplify right side
    470,230x = 206,078,089,401
  5. Step 5: Solve for x
    x = 206,078,089,401/470,230
  6. Step 6: Final answer
    x = 438,249.56

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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.