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Finding the Fourth Proportional to 1,617,581.80, 2,427,927.90 and 819,764.20

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Solution

The fourth proportional to 1,617,581.80, 2,427,927.90 and 819,764.20 is: 1,230,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,581.80 : 2,427,927.90 = 819,764.20 : x
  2. Step 2: Convert to fraction form
    1,617,581.80/2,427,927.90 = 819,764.20/x
  3. Step 3: Cross multiply
    1,617,581.80x = 2,427,927.90 × 819,764.20
  4. Step 4: Simplify right side
    1,617,581.80x = 1,990,328,372,601.18
  5. Step 5: Solve for x
    x = 1,990,328,372,601.18/1,617,581.80
  6. Step 6: Final answer
    x = 1,230,434.45

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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.