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Finding the Fourth Proportional to 383,504.42, 529,254.12 and 213,739.76

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Solution

The fourth proportional to 383,504.42, 529,254.12 and 213,739.76 is: 294,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,504.42 : 529,254.12 = 213,739.76 : x
  2. Step 2: Convert to fraction form
    383,504.42/529,254.12 = 213,739.76/x
  3. Step 3: Cross multiply
    383,504.42x = 529,254.12 × 213,739.76
  4. Step 4: Simplify right side
    383,504.42x = 113,122,645,941.54
  5. Step 5: Solve for x
    x = 113,122,645,941.54/383,504.42
  6. Step 6: Final answer
    x = 294,970.91

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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.