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Finding the Fourth Proportional to 362,940.30, 544,519.80 and 257,964.30

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Solution

The fourth proportional to 362,940.30, 544,519.80 and 257,964.30 is: 387,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,940.30 : 544,519.80 = 257,964.30 : x
  2. Step 2: Convert to fraction form
    362,940.30/544,519.80 = 257,964.30/x
  3. Step 3: Cross multiply
    362,940.30x = 544,519.80 × 257,964.30
  4. Step 4: Simplify right side
    362,940.30x = 140,466,669,043.14
  5. Step 5: Solve for x
    x = 140,466,669,043.14/362,940.30
  6. Step 6: Final answer
    x = 387,024.17

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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.