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Finding the Fourth Proportional to 1,293,452.42, 1,784,982.89 and 742,257.95

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Solution

The fourth proportional to 1,293,452.42, 1,784,982.89 and 742,257.95 is: 1,024,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,452.42 : 1,784,982.89 = 742,257.95 : x
  2. Step 2: Convert to fraction form
    1,293,452.42/1,784,982.89 = 742,257.95/x
  3. Step 3: Cross multiply
    1,293,452.42x = 1,784,982.89 × 742,257.95
  4. Step 4: Simplify right side
    1,293,452.42x = 1,324,917,733,647.21
  5. Step 5: Solve for x
    x = 1,324,917,733,647.21/1,293,452.42
  6. Step 6: Final answer
    x = 1,024,326.61

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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.