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Finding the Fourth Proportional to 480,849.36, 721,339.65 and 200,301

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Solution

The fourth proportional to 480,849.36, 721,339.65 and 200,301 is: 300,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,849.36 : 721,339.65 = 200,301 : x
  2. Step 2: Convert to fraction form
    480,849.36/721,339.65 = 200,301/x
  3. Step 3: Cross multiply
    480,849.36x = 721,339.65 × 200,301
  4. Step 4: Simplify right side
    480,849.36x = 144,485,053,234.65
  5. Step 5: Solve for x
    x = 144,485,053,234.65/480,849.36
  6. Step 6: Final answer
    x = 300,478.83

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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.