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Finding the Fourth Proportional to 383,855, 529,719.90 and 214,089.26

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Solution

The fourth proportional to 383,855, 529,719.90 and 214,089.26 is: 295,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,855 : 529,719.90 = 214,089.26 : x
  2. Step 2: Convert to fraction form
    383,855/529,719.90 = 214,089.26/x
  3. Step 3: Cross multiply
    383,855x = 529,719.90 × 214,089.26
  4. Step 4: Simplify right side
    383,855x = 113,407,341,398.27
  5. Step 5: Solve for x
    x = 113,407,341,398.27/383,855
  6. Step 6: Final answer
    x = 295,443.18

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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.