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Finding the Fourth Proportional to 398,586.40, 550,098.87 and 228,816.88

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Solution

The fourth proportional to 398,586.40, 550,098.87 and 228,816.88 is: 315,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,586.40 : 550,098.87 = 228,816.88 : x
  2. Step 2: Convert to fraction form
    398,586.40/550,098.87 = 228,816.88/x
  3. Step 3: Cross multiply
    398,586.40x = 550,098.87 × 228,816.88
  4. Step 4: Simplify right side
    398,586.40x = 125,871,907,124.93
  5. Step 5: Solve for x
    x = 125,871,907,124.93/398,586.40
  6. Step 6: Final answer
    x = 315,795.79

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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.