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Finding the Fourth Proportional to 398,585.40, 550,097.49 and 228,815.88

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Solution

The fourth proportional to 398,585.40, 550,097.49 and 228,815.88 is: 315,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,585.40 : 550,097.49 = 228,815.88 : x
  2. Step 2: Convert to fraction form
    398,585.40/550,097.49 = 228,815.88/x
  3. Step 3: Cross multiply
    398,585.40x = 550,097.49 × 228,815.88
  4. Step 4: Simplify right side
    398,585.40x = 125,871,041,260.14
  5. Step 5: Solve for x
    x = 125,871,041,260.14/398,585.40
  6. Step 6: Final answer
    x = 315,794.41

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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.