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Finding the Fourth Proportional to 384,374.22, 530,436.27 and 214,608.30

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Solution

The fourth proportional to 384,374.22, 530,436.27 and 214,608.30 is: 296,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,374.22 : 530,436.27 = 214,608.30 : x
  2. Step 2: Convert to fraction form
    384,374.22/530,436.27 = 214,608.30/x
  3. Step 3: Cross multiply
    384,374.22x = 530,436.27 × 214,608.30
  4. Step 4: Simplify right side
    384,374.22x = 113,836,026,163.04
  5. Step 5: Solve for x
    x = 113,836,026,163.04/384,374.22
  6. Step 6: Final answer
    x = 296,159.37

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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.