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Finding the Fourth Proportional to 512,480.40, 769,303.80 and 302,236.80

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Solution

The fourth proportional to 512,480.40, 769,303.80 and 302,236.80 is: 453,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,480.40 : 769,303.80 = 302,236.80 : x
  2. Step 2: Convert to fraction form
    512,480.40/769,303.80 = 302,236.80/x
  3. Step 3: Cross multiply
    512,480.40x = 769,303.80 × 302,236.80
  4. Step 4: Simplify right side
    512,480.40x = 232,511,918,739.84
  5. Step 5: Solve for x
    x = 232,511,918,739.84/512,480.40
  6. Step 6: Final answer
    x = 453,699.14

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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.