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Finding the Fourth Proportional to 745,163, 1,028,325.06 and 405,633.80

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Solution

The fourth proportional to 745,163, 1,028,325.06 and 405,633.80 is: 559,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,163 : 1,028,325.06 = 405,633.80 : x
  2. Step 2: Convert to fraction form
    745,163/1,028,325.06 = 405,633.80/x
  3. Step 3: Cross multiply
    745,163x = 1,028,325.06 × 405,633.80
  4. Step 4: Simplify right side
    745,163x = 417,123,401,723.03
  5. Step 5: Solve for x
    x = 417,123,401,723.03/745,163
  6. Step 6: Final answer
    x = 559,774.71

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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.