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Finding the Fourth Proportional to 414,009.60, 621,014.40 and 254,577.30

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Solution

The fourth proportional to 414,009.60, 621,014.40 and 254,577.30 is: 381,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,009.60 : 621,014.40 = 254,577.30 : x
  2. Step 2: Convert to fraction form
    414,009.60/621,014.40 = 254,577.30/x
  3. Step 3: Cross multiply
    414,009.60x = 621,014.40 × 254,577.30
  4. Step 4: Simplify right side
    414,009.60x = 158,096,169,213.12
  5. Step 5: Solve for x
    x = 158,096,169,213.12/414,009.60
  6. Step 6: Final answer
    x = 381,865.95

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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.