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Finding the Fourth Proportional to 414,264.24, 620,965.44 and 281,155.32

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Solution

The fourth proportional to 414,264.24, 620,965.44 and 281,155.32 is: 421,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,264.24 : 620,965.44 = 281,155.32 : x
  2. Step 2: Convert to fraction form
    414,264.24/620,965.44 = 281,155.32/x
  3. Step 3: Cross multiply
    414,264.24x = 620,965.44 × 281,155.32
  4. Step 4: Simplify right side
    414,264.24x = 174,587,736,992.14
  5. Step 5: Solve for x
    x = 174,587,736,992.14/414,264.24
  6. Step 6: Final answer
    x = 421,440.52

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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.