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Finding the Fourth Proportional to 414,512.40, 621,768.60 and 274,429.20

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Solution

The fourth proportional to 414,512.40, 621,768.60 and 274,429.20 is: 411,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,512.40 : 621,768.60 = 274,429.20 : x
  2. Step 2: Convert to fraction form
    414,512.40/621,768.60 = 274,429.20/x
  3. Step 3: Cross multiply
    414,512.40x = 621,768.60 × 274,429.20
  4. Step 4: Simplify right side
    414,512.40x = 170,631,459,483.12
  5. Step 5: Solve for x
    x = 170,631,459,483.12/414,512.40
  6. Step 6: Final answer
    x = 411,643.80

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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.