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Finding the Fourth Proportional to 414,056.20, 621,215.54 and 147,811

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Solution

The fourth proportional to 414,056.20, 621,215.54 and 147,811 is: 221,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,056.20 : 621,215.54 = 147,811 : x
  2. Step 2: Convert to fraction form
    414,056.20/621,215.54 = 147,811/x
  3. Step 3: Cross multiply
    414,056.20x = 621,215.54 × 147,811
  4. Step 4: Simplify right side
    414,056.20x = 91,822,490,182.94
  5. Step 5: Solve for x
    x = 91,822,490,182.94/414,056.20
  6. Step 6: Final answer
    x = 221,763.35

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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.