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Finding the Fourth Proportional to 260,711.54, 390,968.88 and 120,371.75

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Solution

The fourth proportional to 260,711.54, 390,968.88 and 120,371.75 is: 180,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,711.54 : 390,968.88 = 120,371.75 : x
  2. Step 2: Convert to fraction form
    260,711.54/390,968.88 = 120,371.75/x
  3. Step 3: Cross multiply
    260,711.54x = 390,968.88 × 120,371.75
  4. Step 4: Simplify right side
    260,711.54x = 47,061,606,326.30
  5. Step 5: Solve for x
    x = 47,061,606,326.30/260,711.54
  6. Step 6: Final answer
    x = 180,512.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.