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Finding the Fourth Proportional to 745,162, 1,028,323.68 and 405,632.80

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Solution

The fourth proportional to 745,162, 1,028,323.68 and 405,632.80 is: 559,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,162 : 1,028,323.68 = 405,632.80 : x
  2. Step 2: Convert to fraction form
    745,162/1,028,323.68 = 405,632.80/x
  3. Step 3: Cross multiply
    745,162x = 1,028,323.68 × 405,632.80
  4. Step 4: Simplify right side
    745,162x = 417,121,813,624.70
  5. Step 5: Solve for x
    x = 417,121,813,624.70/745,162
  6. Step 6: Final answer
    x = 559,773.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.