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Finding the Fourth Proportional to 288,943.50, 398,742.03 and 188,341.50

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Solution

The fourth proportional to 288,943.50, 398,742.03 and 188,341.50 is: 259,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,943.50 : 398,742.03 = 188,341.50 : x
  2. Step 2: Convert to fraction form
    288,943.50/398,742.03 = 188,341.50/x
  3. Step 3: Cross multiply
    288,943.50x = 398,742.03 × 188,341.50
  4. Step 4: Simplify right side
    288,943.50x = 75,099,672,043.25
  5. Step 5: Solve for x
    x = 75,099,672,043.25/288,943.50
  6. Step 6: Final answer
    x = 259,911.27

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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.