Home / 1,440.12-2,160.20-414.12

Finding the Fourth Proportional to 1,440.12, 2,160.20 and 414.12

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Solution

The fourth proportional to 1,440.12, 2,160.20 and 414.12 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.12 : 2,160.20 = 414.12 : x
  2. Step 2: Convert to fraction form
    1,440.12/2,160.20 = 414.12/x
  3. Step 3: Cross multiply
    1,440.12x = 2,160.20 × 414.12
  4. Step 4: Simplify right side
    1,440.12x = 894,582.02
  5. Step 5: Solve for x
    x = 894,582.02/1,440.12
  6. Step 6: Final answer
    x = 621.19

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