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Finding the Fourth Proportional to 415,907.80, 622,695.30 and 404,243.80

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Solution

The fourth proportional to 415,907.80, 622,695.30 and 404,243.80 is: 605,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907.80 : 622,695.30 = 404,243.80 : x
  2. Step 2: Convert to fraction form
    415,907.80/622,695.30 = 404,243.80/x
  3. Step 3: Cross multiply
    415,907.80x = 622,695.30 × 404,243.80
  4. Step 4: Simplify right side
    415,907.80x = 251,720,714,314.14
  5. Step 5: Solve for x
    x = 251,720,714,314.14/415,907.80
  6. Step 6: Final answer
    x = 605,232.01

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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.