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Finding the Fourth Proportional to 383,509.67, 529,261.36 and 213,745.01

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Solution

The fourth proportional to 383,509.67, 529,261.36 and 213,745.01 is: 294,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,509.67 : 529,261.36 = 213,745.01 : x
  2. Step 2: Convert to fraction form
    383,509.67/529,261.36 = 213,745.01/x
  3. Step 3: Cross multiply
    383,509.67x = 529,261.36 × 213,745.01
  4. Step 4: Simplify right side
    383,509.67x = 113,126,971,505.14
  5. Step 5: Solve for x
    x = 113,126,971,505.14/383,509.67
  6. Step 6: Final answer
    x = 294,978.15

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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.