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Finding the Fourth Proportional to 699,728.80, 1,048,978.80 and 419,357.60

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Solution

The fourth proportional to 699,728.80, 1,048,978.80 and 419,357.60 is: 628,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,728.80 : 1,048,978.80 = 419,357.60 : x
  2. Step 2: Convert to fraction form
    699,728.80/1,048,978.80 = 419,357.60/x
  3. Step 3: Cross multiply
    699,728.80x = 1,048,978.80 × 419,357.60
  4. Step 4: Simplify right side
    699,728.80x = 439,897,232,018.88
  5. Step 5: Solve for x
    x = 439,897,232,018.88/699,728.80
  6. Step 6: Final answer
    x = 628,668.18

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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.