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Finding the Fourth Proportional to 628,961.80, 942,405.90 and 523,208.20

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Solution

The fourth proportional to 628,961.80, 942,405.90 and 523,208.20 is: 783,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,961.80 : 942,405.90 = 523,208.20 : x
  2. Step 2: Convert to fraction form
    628,961.80/942,405.90 = 523,208.20/x
  3. Step 3: Cross multiply
    628,961.80x = 942,405.90 × 523,208.20
  4. Step 4: Simplify right side
    628,961.80x = 493,074,494,608.38
  5. Step 5: Solve for x
    x = 493,074,494,608.38/628,961.80
  6. Step 6: Final answer
    x = 783,949.83

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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.