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Finding the Fourth Proportional to 628,554.88, 942,304.20 and 509,932

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Solution

The fourth proportional to 628,554.88, 942,304.20 and 509,932 is: 764,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,554.88 : 942,304.20 = 509,932 : x
  2. Step 2: Convert to fraction form
    628,554.88/942,304.20 = 509,932/x
  3. Step 3: Cross multiply
    628,554.88x = 942,304.20 × 509,932
  4. Step 4: Simplify right side
    628,554.88x = 480,511,065,314.40
  5. Step 5: Solve for x
    x = 480,511,065,314.40/628,554.88
  6. Step 6: Final answer
    x = 764,469.55

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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.