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Finding the Fourth Proportional to 457,880.21, 686,809.60 and 120,944.39

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Solution

The fourth proportional to 457,880.21, 686,809.60 and 120,944.39 is: 181,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,880.21 : 686,809.60 = 120,944.39 : x
  2. Step 2: Convert to fraction form
    457,880.21/686,809.60 = 120,944.39/x
  3. Step 3: Cross multiply
    457,880.21x = 686,809.60 × 120,944.39
  4. Step 4: Simplify right side
    457,880.21x = 83,065,768,245.04
  5. Step 5: Solve for x
    x = 83,065,768,245.04/457,880.21
  6. Step 6: Final answer
    x = 181,413.76

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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.