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Finding the Fourth Proportional to 480,653.10, 720,979.65 and 200,133.90

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Solution

The fourth proportional to 480,653.10, 720,979.65 and 200,133.90 is: 300,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,653.10 : 720,979.65 = 200,133.90 : x
  2. Step 2: Convert to fraction form
    480,653.10/720,979.65 = 200,133.90/x
  3. Step 3: Cross multiply
    480,653.10x = 720,979.65 × 200,133.90
  4. Step 4: Simplify right side
    480,653.10x = 144,292,469,175.14
  5. Step 5: Solve for x
    x = 144,292,469,175.14/480,653.10
  6. Step 6: Final answer
    x = 300,200.85

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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.