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Finding the Fourth Proportional to 370,345.44, 511,077.12 and 200,579.76

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Solution

The fourth proportional to 370,345.44, 511,077.12 and 200,579.76 is: 276,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,345.44 : 511,077.12 = 200,579.76 : x
  2. Step 2: Convert to fraction form
    370,345.44/511,077.12 = 200,579.76/x
  3. Step 3: Cross multiply
    370,345.44x = 511,077.12 × 200,579.76
  4. Step 4: Simplify right side
    370,345.44x = 102,511,726,071.09
  5. Step 5: Solve for x
    x = 102,511,726,071.09/370,345.44
  6. Step 6: Final answer
    x = 276,800.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.