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Finding the Fourth Proportional to 496,288.80, 744,530.40 and 211,978.80

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Solution

The fourth proportional to 496,288.80, 744,530.40 and 211,978.80 is: 318,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,288.80 : 744,530.40 = 211,978.80 : x
  2. Step 2: Convert to fraction form
    496,288.80/744,530.40 = 211,978.80/x
  3. Step 3: Cross multiply
    496,288.80x = 744,530.40 × 211,978.80
  4. Step 4: Simplify right side
    496,288.80x = 157,824,660,755.52
  5. Step 5: Solve for x
    x = 157,824,660,755.52/496,288.80
  6. Step 6: Final answer
    x = 318,009.72

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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.