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Finding the Fourth Proportional to 287,454.96, 431,182.44 and 110,016.36

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Solution

The fourth proportional to 287,454.96, 431,182.44 and 110,016.36 is: 165,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,454.96 : 431,182.44 = 110,016.36 : x
  2. Step 2: Convert to fraction form
    287,454.96/431,182.44 = 110,016.36/x
  3. Step 3: Cross multiply
    287,454.96x = 431,182.44 × 110,016.36
  4. Step 4: Simplify right side
    287,454.96x = 47,437,122,544.72
  5. Step 5: Solve for x
    x = 47,437,122,544.72/287,454.96
  6. Step 6: Final answer
    x = 165,024.54

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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.