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Finding the Fourth Proportional to 578,049.60, 866,728.80 and 298,113.60

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Solution

The fourth proportional to 578,049.60, 866,728.80 and 298,113.60 is: 446,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,049.60 : 866,728.80 = 298,113.60 : x
  2. Step 2: Convert to fraction form
    578,049.60/866,728.80 = 298,113.60/x
  3. Step 3: Cross multiply
    578,049.60x = 866,728.80 × 298,113.60
  4. Step 4: Simplify right side
    578,049.60x = 258,383,642,791.68
  5. Step 5: Solve for x
    x = 258,383,642,791.68/578,049.60
  6. Step 6: Final answer
    x = 446,992.17

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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.