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Finding the Fourth Proportional to 480,786.36, 720,790.74 and 200,513.40

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Solution

The fourth proportional to 480,786.36, 720,790.74 and 200,513.40 is: 300,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,786.36 : 720,790.74 = 200,513.40 : x
  2. Step 2: Convert to fraction form
    480,786.36/720,790.74 = 200,513.40/x
  3. Step 3: Cross multiply
    480,786.36x = 720,790.74 × 200,513.40
  4. Step 4: Simplify right side
    480,786.36x = 144,528,201,965.92
  5. Step 5: Solve for x
    x = 144,528,201,965.92/480,786.36
  6. Step 6: Final answer
    x = 300,607.95

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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.