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Finding the Fourth Proportional to 330,499.61, 456,048.63 and 201,391.03

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Solution

The fourth proportional to 330,499.61, 456,048.63 and 201,391.03 is: 277,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,499.61 : 456,048.63 = 201,391.03 : x
  2. Step 2: Convert to fraction form
    330,499.61/456,048.63 = 201,391.03/x
  3. Step 3: Cross multiply
    330,499.61x = 456,048.63 × 201,391.03
  4. Step 4: Simplify right side
    330,499.61x = 91,844,102,185.67
  5. Step 5: Solve for x
    x = 91,844,102,185.67/330,499.61
  6. Step 6: Final answer
    x = 277,894.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.