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Finding the Fourth Proportional to 745,268, 1,028,472.28 and 405,738.68

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Solution

The fourth proportional to 745,268, 1,028,472.28 and 405,738.68 is: 559,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,268 : 1,028,472.28 = 405,738.68 : x
  2. Step 2: Convert to fraction form
    745,268/1,028,472.28 = 405,738.68/x
  3. Step 3: Cross multiply
    745,268x = 1,028,472.28 × 405,738.68
  4. Step 4: Simplify right side
    745,268x = 417,290,985,303.79
  5. Step 5: Solve for x
    x = 417,290,985,303.79/745,268
  6. Step 6: Final answer
    x = 559,920.71

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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.