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Finding the Fourth Proportional to 383,571.50, 529,335.62 and 213,787.40

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Solution

The fourth proportional to 383,571.50, 529,335.62 and 213,787.40 is: 295,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,571.50 : 529,335.62 = 213,787.40 : x
  2. Step 2: Convert to fraction form
    383,571.50/529,335.62 = 213,787.40/x
  3. Step 3: Cross multiply
    383,571.50x = 529,335.62 × 213,787.40
  4. Step 4: Simplify right side
    383,571.50x = 113,165,285,927.19
  5. Step 5: Solve for x
    x = 113,165,285,927.19/383,571.50
  6. Step 6: Final answer
    x = 295,030.49

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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.