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Finding the Fourth Proportional to 745,954, 1,029,403.44 and 406,424.64

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Solution

The fourth proportional to 745,954, 1,029,403.44 and 406,424.64 is: 560,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,954 : 1,029,403.44 = 406,424.64 : x
  2. Step 2: Convert to fraction form
    745,954/1,029,403.44 = 406,424.64/x
  3. Step 3: Cross multiply
    745,954x = 1,029,403.44 × 406,424.64
  4. Step 4: Simplify right side
    745,954x = 418,374,922,516.76
  5. Step 5: Solve for x
    x = 418,374,922,516.76/745,954
  6. Step 6: Final answer
    x = 560,858.88

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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.