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Finding the Fourth Proportional to 288,108.70, 397,627.62 and 160,810.72

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Solution

The fourth proportional to 288,108.70, 397,627.62 and 160,810.72 is: 221,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,108.70 : 397,627.62 = 160,810.72 : x
  2. Step 2: Convert to fraction form
    288,108.70/397,627.62 = 160,810.72/x
  3. Step 3: Cross multiply
    288,108.70x = 397,627.62 × 160,810.72
  4. Step 4: Simplify right side
    288,108.70x = 63,942,783,864.09
  5. Step 5: Solve for x
    x = 63,942,783,864.09/288,108.70
  6. Step 6: Final answer
    x = 221,939.79

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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.