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Finding the Fourth Proportional to 490,050, 674,169.48 and 469,054.80

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Solution

The fourth proportional to 490,050, 674,169.48 and 469,054.80 is: 645,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,050 : 674,169.48 = 469,054.80 : x
  2. Step 2: Convert to fraction form
    490,050/674,169.48 = 469,054.80/x
  3. Step 3: Cross multiply
    490,050x = 674,169.48 × 469,054.80
  4. Step 4: Simplify right side
    490,050x = 316,222,430,607.50
  5. Step 5: Solve for x
    x = 316,222,430,607.50/490,050
  6. Step 6: Final answer
    x = 645,286.05

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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.