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Finding the Fourth Proportional to 260,078.40, 390,409.20 and 201,175.20

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Solution

The fourth proportional to 260,078.40, 390,409.20 and 201,175.20 is: 301,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,078.40 : 390,409.20 = 201,175.20 : x
  2. Step 2: Convert to fraction form
    260,078.40/390,409.20 = 201,175.20/x
  3. Step 3: Cross multiply
    260,078.40x = 390,409.20 × 201,175.20
  4. Step 4: Simplify right side
    260,078.40x = 78,540,648,891.84
  5. Step 5: Solve for x
    x = 78,540,648,891.84/260,078.40
  6. Step 6: Final answer
    x = 301,988.36

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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.