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Finding the Fourth Proportional to 375,578.56, 562,974.16 and 138,770.20

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Solution

The fourth proportional to 375,578.56, 562,974.16 and 138,770.20 is: 208,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,578.56 : 562,974.16 = 138,770.20 : x
  2. Step 2: Convert to fraction form
    375,578.56/562,974.16 = 138,770.20/x
  3. Step 3: Cross multiply
    375,578.56x = 562,974.16 × 138,770.20
  4. Step 4: Simplify right side
    375,578.56x = 78,124,036,778.03
  5. Step 5: Solve for x
    x = 78,124,036,778.03/375,578.56
  6. Step 6: Final answer
    x = 208,009.84

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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.