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Finding the Fourth Proportional to 423,287.73, 634,993.56 and 198,670.98

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Solution

The fourth proportional to 423,287.73, 634,993.56 and 198,670.98 is: 298,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,287.73 : 634,993.56 = 198,670.98 : x
  2. Step 2: Convert to fraction form
    423,287.73/634,993.56 = 198,670.98/x
  3. Step 3: Cross multiply
    423,287.73x = 634,993.56 × 198,670.98
  4. Step 4: Simplify right side
    423,287.73x = 126,154,792,858.89
  5. Step 5: Solve for x
    x = 126,154,792,858.89/423,287.73
  6. Step 6: Final answer
    x = 298,035.55

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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.