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Finding the Fourth Proportional to 383,647.76, 529,428.12 and 213,877.52

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Solution

The fourth proportional to 383,647.76, 529,428.12 and 213,877.52 is: 295,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,647.76 : 529,428.12 = 213,877.52 : x
  2. Step 2: Convert to fraction form
    383,647.76/529,428.12 = 213,877.52/x
  3. Step 3: Cross multiply
    383,647.76x = 529,428.12 × 213,877.52
  4. Step 4: Simplify right side
    383,647.76x = 113,232,773,323.86
  5. Step 5: Solve for x
    x = 113,232,773,323.86/383,647.76
  6. Step 6: Final answer
    x = 295,147.75

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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.