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Finding the Fourth Proportional to 548,215.64, 823,069.51 and 308,498.90

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Solution

The fourth proportional to 548,215.64, 823,069.51 and 308,498.90 is: 463,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,215.64 : 823,069.51 = 308,498.90 : x
  2. Step 2: Convert to fraction form
    548,215.64/823,069.51 = 308,498.90/x
  3. Step 3: Cross multiply
    548,215.64x = 823,069.51 × 308,498.90
  4. Step 4: Simplify right side
    548,215.64x = 253,916,039,744.97
  5. Step 5: Solve for x
    x = 253,916,039,744.97/548,215.64
  6. Step 6: Final answer
    x = 463,168.18

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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.