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Finding the Fourth Proportional to 1,375,824.74, 1,898,813.25 and 831,964.48

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Solution

The fourth proportional to 1,375,824.74, 1,898,813.25 and 831,964.48 is: 1,148,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,824.74 : 1,898,813.25 = 831,964.48 : x
  2. Step 2: Convert to fraction form
    1,375,824.74/1,898,813.25 = 831,964.48/x
  3. Step 3: Cross multiply
    1,375,824.74x = 1,898,813.25 × 831,964.48
  4. Step 4: Simplify right side
    1,375,824.74x = 1,579,745,173,406.33
  5. Step 5: Solve for x
    x = 1,579,745,173,406.33/1,375,824.74
  6. Step 6: Final answer
    x = 1,148,216.87

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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.