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Finding the Fourth Proportional to 260,419.40, 390,626.28 and 197,625.28

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Solution

The fourth proportional to 260,419.40, 390,626.28 and 197,625.28 is: 296,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,419.40 : 390,626.28 = 197,625.28 : x
  2. Step 2: Convert to fraction form
    260,419.40/390,626.28 = 197,625.28/x
  3. Step 3: Cross multiply
    260,419.40x = 390,626.28 × 197,625.28
  4. Step 4: Simplify right side
    260,419.40x = 77,197,627,960.36
  5. Step 5: Solve for x
    x = 77,197,627,960.36/260,419.40
  6. Step 6: Final answer
    x = 296,435.78

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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.