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Finding the Fourth Proportional to 829,405, 1,241,720.93 and 742,859.94

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Solution

The fourth proportional to 829,405, 1,241,720.93 and 742,859.94 is: 1,112,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,405 : 1,241,720.93 = 742,859.94 : x
  2. Step 2: Convert to fraction form
    829,405/1,241,720.93 = 742,859.94/x
  3. Step 3: Cross multiply
    829,405x = 1,241,720.93 × 742,859.94
  4. Step 4: Simplify right side
    829,405x = 922,424,735,556.54
  5. Step 5: Solve for x
    x = 922,424,735,556.54/829,405
  6. Step 6: Final answer
    x = 1,112,152.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.