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Finding the Fourth Proportional to 1,429,446.41, 1,972,664.25 and 784,860.96

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Solution

The fourth proportional to 1,429,446.41, 1,972,664.25 and 784,860.96 is: 1,083,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,446.41 : 1,972,664.25 = 784,860.96 : x
  2. Step 2: Convert to fraction form
    1,429,446.41/1,972,664.25 = 784,860.96/x
  3. Step 3: Cross multiply
    1,429,446.41x = 1,972,664.25 × 784,860.96
  4. Step 4: Simplify right side
    1,429,446.41x = 1,548,267,157,012.68
  5. Step 5: Solve for x
    x = 1,548,267,157,012.68/1,429,446.41
  6. Step 6: Final answer
    x = 1,083,123.61

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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.