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Finding the Fourth Proportional to 383,362.32, 529,043.64 and 211,286.46

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Solution

The fourth proportional to 383,362.32, 529,043.64 and 211,286.46 is: 291,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,362.32 : 529,043.64 = 211,286.46 : x
  2. Step 2: Convert to fraction form
    383,362.32/529,043.64 = 211,286.46/x
  3. Step 3: Cross multiply
    383,362.32x = 529,043.64 × 211,286.46
  4. Step 4: Simplify right side
    383,362.32x = 111,779,757,881.11
  5. Step 5: Solve for x
    x = 111,779,757,881.11/383,362.32
  6. Step 6: Final answer
    x = 291,577.32

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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.