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Finding the Fourth Proportional to 288,858.35, 398,724.74 and 198,513.38

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Solution

The fourth proportional to 288,858.35, 398,724.74 and 198,513.38 is: 274,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,858.35 : 398,724.74 = 198,513.38 : x
  2. Step 2: Convert to fraction form
    288,858.35/398,724.74 = 198,513.38/x
  3. Step 3: Cross multiply
    288,858.35x = 398,724.74 × 198,513.38
  4. Step 4: Simplify right side
    288,858.35x = 79,152,194,834.45
  5. Step 5: Solve for x
    x = 79,152,194,834.45/288,858.35
  6. Step 6: Final answer
    x = 274,017.33

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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.