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Finding the Fourth Proportional to 511,427.82, 705,779.67 and 285,049.02

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Solution

The fourth proportional to 511,427.82, 705,779.67 and 285,049.02 is: 393,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,427.82 : 705,779.67 = 285,049.02 : x
  2. Step 2: Convert to fraction form
    511,427.82/705,779.67 = 285,049.02/x
  3. Step 3: Cross multiply
    511,427.82x = 705,779.67 × 285,049.02
  4. Step 4: Simplify right side
    511,427.82x = 201,181,803,269.42
  5. Step 5: Solve for x
    x = 201,181,803,269.42/511,427.82
  6. Step 6: Final answer
    x = 393,372.82

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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.