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Finding the Fourth Proportional to 789,462, 1,089,483.48 and 431,766

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Solution

The fourth proportional to 789,462, 1,089,483.48 and 431,766 is: 595,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,462 : 1,089,483.48 = 431,766 : x
  2. Step 2: Convert to fraction form
    789,462/1,089,483.48 = 431,766/x
  3. Step 3: Cross multiply
    789,462x = 1,089,483.48 × 431,766
  4. Step 4: Simplify right side
    789,462x = 470,401,924,225.68
  5. Step 5: Solve for x
    x = 470,401,924,225.68/789,462
  6. Step 6: Final answer
    x = 595,851.26

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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.