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Finding the Fourth Proportional to 288,003.04, 397,445.34 and 160,684

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Solution

The fourth proportional to 288,003.04, 397,445.34 and 160,684 is: 221,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,003.04 : 397,445.34 = 160,684 : x
  2. Step 2: Convert to fraction form
    288,003.04/397,445.34 = 160,684/x
  3. Step 3: Cross multiply
    288,003.04x = 397,445.34 × 160,684
  4. Step 4: Simplify right side
    288,003.04x = 63,863,107,012.56
  5. Step 5: Solve for x
    x = 63,863,107,012.56/288,003.04
  6. Step 6: Final answer
    x = 221,744.56

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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.