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Finding the Fourth Proportional to 383,994, 529,911.72 and 214,228.08

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Solution

The fourth proportional to 383,994, 529,911.72 and 214,228.08 is: 295,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,994 : 529,911.72 = 214,228.08 : x
  2. Step 2: Convert to fraction form
    383,994/529,911.72 = 214,228.08/x
  3. Step 3: Cross multiply
    383,994x = 529,911.72 × 214,228.08
  4. Step 4: Simplify right side
    383,994x = 113,521,970,345.10
  5. Step 5: Solve for x
    x = 113,521,970,345.10/383,994
  6. Step 6: Final answer
    x = 295,634.75

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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.