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Finding the Fourth Proportional to 288,161.30, 397,663.05 and 160,836.86

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Solution

The fourth proportional to 288,161.30, 397,663.05 and 160,836.86 is: 221,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,161.30 : 397,663.05 = 160,836.86 : x
  2. Step 2: Convert to fraction form
    288,161.30/397,663.05 = 160,836.86/x
  3. Step 3: Cross multiply
    288,161.30x = 397,663.05 × 160,836.86
  4. Step 4: Simplify right side
    288,161.30x = 63,958,876,300.02
  5. Step 5: Solve for x
    x = 63,958,876,300.02/288,161.30
  6. Step 6: Final answer
    x = 221,955.12

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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.