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Finding the Fourth Proportional to 381,576.83, 572,386.31 and 115,330.64

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Solution

The fourth proportional to 381,576.83, 572,386.31 and 115,330.64 is: 173,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,576.83 : 572,386.31 = 115,330.64 : x
  2. Step 2: Convert to fraction form
    381,576.83/572,386.31 = 115,330.64/x
  3. Step 3: Cross multiply
    381,576.83x = 572,386.31 × 115,330.64
  4. Step 4: Simplify right side
    381,576.83x = 66,013,679,459.54
  5. Step 5: Solve for x
    x = 66,013,679,459.54/381,576.83
  6. Step 6: Final answer
    x = 173,002.33

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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.