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Finding the Fourth Proportional to 260,409.79, 359,375.75 and 152,978.88

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Solution

The fourth proportional to 260,409.79, 359,375.75 and 152,978.88 is: 211,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,409.79 : 359,375.75 = 152,978.88 : x
  2. Step 2: Convert to fraction form
    260,409.79/359,375.75 = 152,978.88/x
  3. Step 3: Cross multiply
    260,409.79x = 359,375.75 × 152,978.88
  4. Step 4: Simplify right side
    260,409.79x = 54,976,899,734.16
  5. Step 5: Solve for x
    x = 54,976,899,734.16/260,409.79
  6. Step 6: Final answer
    x = 211,116.87

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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.