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Finding the Fourth Proportional to 477,633.54, 658,860.57 and 298,474.50

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Solution

The fourth proportional to 477,633.54, 658,860.57 and 298,474.50 is: 411,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,633.54 : 658,860.57 = 298,474.50 : x
  2. Step 2: Convert to fraction form
    477,633.54/658,860.57 = 298,474.50/x
  3. Step 3: Cross multiply
    477,633.54x = 658,860.57 × 298,474.50
  4. Step 4: Simplify right side
    477,633.54x = 196,653,079,200.47
  5. Step 5: Solve for x
    x = 196,653,079,200.47/477,633.54
  6. Step 6: Final answer
    x = 411,723.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.