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Finding the Fourth Proportional to 829,404, 1,241,719.43 and 742,858.94

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Solution

The fourth proportional to 829,404, 1,241,719.43 and 742,858.94 is: 1,112,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,404 : 1,241,719.43 = 742,858.94 : x
  2. Step 2: Convert to fraction form
    829,404/1,241,719.43 = 742,858.94/x
  3. Step 3: Cross multiply
    829,404x = 1,241,719.43 × 742,858.94
  4. Step 4: Simplify right side
    829,404x = 922,422,379,547.20
  5. Step 5: Solve for x
    x = 922,422,379,547.20/829,404
  6. Step 6: Final answer
    x = 1,112,150.87

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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.