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Finding the Fourth Proportional to 549,218.50, 757,933.05 and 310,754.50

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Solution

The fourth proportional to 549,218.50, 757,933.05 and 310,754.50 is: 428,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,218.50 : 757,933.05 = 310,754.50 : x
  2. Step 2: Convert to fraction form
    549,218.50/757,933.05 = 310,754.50/x
  3. Step 3: Cross multiply
    549,218.50x = 757,933.05 × 310,754.50
  4. Step 4: Simplify right side
    549,218.50x = 235,531,105,986.23
  5. Step 5: Solve for x
    x = 235,531,105,986.23/549,218.50
  6. Step 6: Final answer
    x = 428,847.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.