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Finding the Fourth Proportional to 384,120.13, 530,086.22 and 214,354.21

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Solution

The fourth proportional to 384,120.13, 530,086.22 and 214,354.21 is: 295,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,120.13 : 530,086.22 = 214,354.21 : x
  2. Step 2: Convert to fraction form
    384,120.13/530,086.22 = 214,354.21/x
  3. Step 3: Cross multiply
    384,120.13x = 530,086.22 × 214,354.21
  4. Step 4: Simplify right side
    384,120.13x = 113,626,211,848.22
  5. Step 5: Solve for x
    x = 113,626,211,848.22/384,120.13
  6. Step 6: Final answer
    x = 295,809.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.