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Finding the Fourth Proportional to 381,576.16, 572,450.64 and 203,989.60

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Solution

The fourth proportional to 381,576.16, 572,450.64 and 203,989.60 is: 306,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,576.16 : 572,450.64 = 203,989.60 : x
  2. Step 2: Convert to fraction form
    381,576.16/572,450.64 = 203,989.60/x
  3. Step 3: Cross multiply
    381,576.16x = 572,450.64 × 203,989.60
  4. Step 4: Simplify right side
    381,576.16x = 116,773,977,073.34
  5. Step 5: Solve for x
    x = 116,773,977,073.34/381,576.16
  6. Step 6: Final answer
    x = 306,030.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.