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Finding the Fourth Proportional to 383,503.84, 529,253.32 and 213,739.18

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Solution

The fourth proportional to 383,503.84, 529,253.32 and 213,739.18 is: 294,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,503.84 : 529,253.32 = 213,739.18 : x
  2. Step 2: Convert to fraction form
    383,503.84/529,253.32 = 213,739.18/x
  3. Step 3: Cross multiply
    383,503.84x = 529,253.32 × 213,739.18
  4. Step 4: Simplify right side
    383,503.84x = 113,122,166,914.12
  5. Step 5: Solve for x
    x = 113,122,166,914.12/383,503.84
  6. Step 6: Final answer
    x = 294,970.11

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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.