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Finding the Fourth Proportional to 288,877.98, 398,751.81 and 198,533.01

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Solution

The fourth proportional to 288,877.98, 398,751.81 and 198,533.01 is: 274,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,877.98 : 398,751.81 = 198,533.01 : x
  2. Step 2: Convert to fraction form
    288,877.98/398,751.81 = 198,533.01/x
  3. Step 3: Cross multiply
    288,877.98x = 398,751.81 × 198,533.01
  4. Step 4: Simplify right side
    288,877.98x = 79,165,397,082.25
  5. Step 5: Solve for x
    x = 79,165,397,082.25/288,877.98
  6. Step 6: Final answer
    x = 274,044.42

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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.