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Finding the Fourth Proportional to 414,612.84, 621,164.75 and 287,985.54

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Solution

The fourth proportional to 414,612.84, 621,164.75 and 287,985.54 is: 431,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,612.84 : 621,164.75 = 287,985.54 : x
  2. Step 2: Convert to fraction form
    414,612.84/621,164.75 = 287,985.54/x
  3. Step 3: Cross multiply
    414,612.84x = 621,164.75 × 287,985.54
  4. Step 4: Simplify right side
    414,612.84x = 178,886,464,517.79
  5. Step 5: Solve for x
    x = 178,886,464,517.79/414,612.84
  6. Step 6: Final answer
    x = 431,454.23

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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.