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Finding the Fourth Proportional to 745,164, 1,028,326.44 and 405,634.80

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Solution

The fourth proportional to 745,164, 1,028,326.44 and 405,634.80 is: 559,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,164 : 1,028,326.44 = 405,634.80 : x
  2. Step 2: Convert to fraction form
    745,164/1,028,326.44 = 405,634.80/x
  3. Step 3: Cross multiply
    745,164x = 1,028,326.44 × 405,634.80
  4. Step 4: Simplify right side
    745,164x = 417,124,989,824.11
  5. Step 5: Solve for x
    x = 417,124,989,824.11/745,164
  6. Step 6: Final answer
    x = 559,776.09

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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.