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Finding the Fourth Proportional to 262,656, 394,119.36 and 144,420.48

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Solution

The fourth proportional to 262,656, 394,119.36 and 144,420.48 is: 216,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,656 : 394,119.36 = 144,420.48 : x
  2. Step 2: Convert to fraction form
    262,656/394,119.36 = 144,420.48/x
  3. Step 3: Cross multiply
    262,656x = 394,119.36 × 144,420.48
  4. Step 4: Simplify right side
    262,656x = 56,918,907,148.49
  5. Step 5: Solve for x
    x = 56,918,907,148.49/262,656
  6. Step 6: Final answer
    x = 216,705.15

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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.