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Finding the Fourth Proportional to 412,605.20, 618,907.80 and 307,629.20

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Solution

The fourth proportional to 412,605.20, 618,907.80 and 307,629.20 is: 461,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,605.20 : 618,907.80 = 307,629.20 : x
  2. Step 2: Convert to fraction form
    412,605.20/618,907.80 = 307,629.20/x
  3. Step 3: Cross multiply
    412,605.20x = 618,907.80 × 307,629.20
  4. Step 4: Simplify right side
    412,605.20x = 190,394,111,387.76
  5. Step 5: Solve for x
    x = 190,394,111,387.76/412,605.20
  6. Step 6: Final answer
    x = 461,443.80

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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.