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Finding the Fourth Proportional to 260,838.34, 359,960.64 and 151,939.88

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Solution

The fourth proportional to 260,838.34, 359,960.64 and 151,939.88 is: 209,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,838.34 : 359,960.64 = 151,939.88 : x
  2. Step 2: Convert to fraction form
    260,838.34/359,960.64 = 151,939.88/x
  3. Step 3: Cross multiply
    260,838.34x = 359,960.64 × 151,939.88
  4. Step 4: Simplify right side
    260,838.34x = 54,692,376,446.32
  5. Step 5: Solve for x
    x = 54,692,376,446.32/260,838.34
  6. Step 6: Final answer
    x = 209,679.21

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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.