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Finding the Fourth Proportional to 303,511.86, 455,317.20 and 113,986.98

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Solution

The fourth proportional to 303,511.86, 455,317.20 and 113,986.98 is: 170,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,511.86 : 455,317.20 = 113,986.98 : x
  2. Step 2: Convert to fraction form
    303,511.86/455,317.20 = 113,986.98/x
  3. Step 3: Cross multiply
    303,511.86x = 455,317.20 × 113,986.98
  4. Step 4: Simplify right side
    303,511.86x = 51,900,232,570.06
  5. Step 5: Solve for x
    x = 51,900,232,570.06/303,511.86
  6. Step 6: Final answer
    x = 170,999.03

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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.