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Finding the Fourth Proportional to 496,114.80, 744,269.40 and 211,804.80

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Solution

The fourth proportional to 496,114.80, 744,269.40 and 211,804.80 is: 317,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,114.80 : 744,269.40 = 211,804.80 : x
  2. Step 2: Convert to fraction form
    496,114.80/744,269.40 = 211,804.80/x
  3. Step 3: Cross multiply
    496,114.80x = 744,269.40 × 211,804.80
  4. Step 4: Simplify right side
    496,114.80x = 157,639,831,413.12
  5. Step 5: Solve for x
    x = 157,639,831,413.12/496,114.80
  6. Step 6: Final answer
    x = 317,748.70

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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.