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Finding the Fourth Proportional to 288,876.98, 398,750.43 and 198,532.01

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Solution

The fourth proportional to 288,876.98, 398,750.43 and 198,532.01 is: 274,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,876.98 : 398,750.43 = 198,532.01 : x
  2. Step 2: Convert to fraction form
    288,876.98/398,750.43 = 198,532.01/x
  3. Step 3: Cross multiply
    288,876.98x = 398,750.43 × 198,532.01
  4. Step 4: Simplify right side
    288,876.98x = 79,164,722,362.51
  5. Step 5: Solve for x
    x = 79,164,722,362.51/288,876.98
  6. Step 6: Final answer
    x = 274,043.03

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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.