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Finding the Fourth Proportional to 496,243.80, 744,365.70 and 285,708.60

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Solution

The fourth proportional to 496,243.80, 744,365.70 and 285,708.60 is: 428,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,243.80 : 744,365.70 = 285,708.60 : x
  2. Step 2: Convert to fraction form
    496,243.80/744,365.70 = 285,708.60/x
  3. Step 3: Cross multiply
    496,243.80x = 744,365.70 × 285,708.60
  4. Step 4: Simplify right side
    496,243.80x = 212,671,682,035.02
  5. Step 5: Solve for x
    x = 212,671,682,035.02/496,243.80
  6. Step 6: Final answer
    x = 428,562.90

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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.