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Finding the Fourth Proportional to 414,129.20, 621,193.80 and 407,130.80

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Solution

The fourth proportional to 414,129.20, 621,193.80 and 407,130.80 is: 610,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,129.20 : 621,193.80 = 407,130.80 : x
  2. Step 2: Convert to fraction form
    414,129.20/621,193.80 = 407,130.80/x
  3. Step 3: Cross multiply
    414,129.20x = 621,193.80 × 407,130.80
  4. Step 4: Simplify right side
    414,129.20x = 252,907,128,749.04
  5. Step 5: Solve for x
    x = 252,907,128,749.04/414,129.20
  6. Step 6: Final answer
    x = 610,696.20

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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.