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Finding the Fourth Proportional to 484,204.64, 726,389.69 and 199,739.69

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Solution

The fourth proportional to 484,204.64, 726,389.69 and 199,739.69 is: 299,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,204.64 : 726,389.69 = 199,739.69 : x
  2. Step 2: Convert to fraction form
    484,204.64/726,389.69 = 199,739.69/x
  3. Step 3: Cross multiply
    484,204.64x = 726,389.69 × 199,739.69
  4. Step 4: Simplify right side
    484,204.64x = 145,088,846,869.15
  5. Step 5: Solve for x
    x = 145,088,846,869.15/484,204.64
  6. Step 6: Final answer
    x = 299,643.65

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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.