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Finding the Fourth Proportional to 404,205.65, 606,205.02 and 119,829.71

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Solution

The fourth proportional to 404,205.65, 606,205.02 and 119,829.71 is: 179,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,205.65 : 606,205.02 = 119,829.71 : x
  2. Step 2: Convert to fraction form
    404,205.65/606,205.02 = 119,829.71/x
  3. Step 3: Cross multiply
    404,205.65x = 606,205.02 × 119,829.71
  4. Step 4: Simplify right side
    404,205.65x = 72,641,368,716.12
  5. Step 5: Solve for x
    x = 72,641,368,716.12/404,205.65
  6. Step 6: Final answer
    x = 179,713.89

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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.