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Finding the Fourth Proportional to 375,576.56, 562,971.16 and 138,768.20

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Solution

The fourth proportional to 375,576.56, 562,971.16 and 138,768.20 is: 208,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,576.56 : 562,971.16 = 138,768.20 : x
  2. Step 2: Convert to fraction form
    375,576.56/562,971.16 = 138,768.20/x
  3. Step 3: Cross multiply
    375,576.56x = 562,971.16 × 138,768.20
  4. Step 4: Simplify right side
    375,576.56x = 78,122,494,525.11
  5. Step 5: Solve for x
    x = 78,122,494,525.11/375,576.56
  6. Step 6: Final answer
    x = 208,006.84

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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.