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Finding the Fourth Proportional to 745,214, 1,028,395.32 and 405,662

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Solution

The fourth proportional to 745,214, 1,028,395.32 and 405,662 is: 559,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,214 : 1,028,395.32 = 405,662 : x
  2. Step 2: Convert to fraction form
    745,214/1,028,395.32 = 405,662/x
  3. Step 3: Cross multiply
    745,214x = 1,028,395.32 × 405,662
  4. Step 4: Simplify right side
    745,214x = 417,180,902,301.84
  5. Step 5: Solve for x
    x = 417,180,902,301.84/745,214
  6. Step 6: Final answer
    x = 559,813.56

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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.