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Finding the Fourth Proportional to 414,643.60, 621,504.60 and 227,789.20

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Solution

The fourth proportional to 414,643.60, 621,504.60 and 227,789.20 is: 341,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,643.60 : 621,504.60 = 227,789.20 : x
  2. Step 2: Convert to fraction form
    414,643.60/621,504.60 = 227,789.20/x
  3. Step 3: Cross multiply
    414,643.60x = 621,504.60 × 227,789.20
  4. Step 4: Simplify right side
    414,643.60x = 141,572,035,630.32
  5. Step 5: Solve for x
    x = 141,572,035,630.32/414,643.60
  6. Step 6: Final answer
    x = 341,430.65

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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.