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Finding the Fourth Proportional to 384,140.84, 530,164.51 and 214,410.20

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Solution

The fourth proportional to 384,140.84, 530,164.51 and 214,410.20 is: 295,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,140.84 : 530,164.51 = 214,410.20 : x
  2. Step 2: Convert to fraction form
    384,140.84/530,164.51 = 214,410.20/x
  3. Step 3: Cross multiply
    384,140.84x = 530,164.51 × 214,410.20
  4. Step 4: Simplify right side
    384,140.84x = 113,672,675,435.15
  5. Step 5: Solve for x
    x = 113,672,675,435.15/384,140.84
  6. Step 6: Final answer
    x = 295,914.06

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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.