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Finding the Fourth Proportional to 383,996, 529,914.48 and 214,230.08

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Solution

The fourth proportional to 383,996, 529,914.48 and 214,230.08 is: 295,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,996 : 529,914.48 = 214,230.08 : x
  2. Step 2: Convert to fraction form
    383,996/529,914.48 = 214,230.08/x
  3. Step 3: Cross multiply
    383,996x = 529,914.48 × 214,230.08
  4. Step 4: Simplify right side
    383,996x = 113,523,621,443.56
  5. Step 5: Solve for x
    x = 113,523,621,443.56/383,996
  6. Step 6: Final answer
    x = 295,637.51

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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.