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Finding the Fourth Proportional to 3,828,137.56, 5,742,228.06 and 988,055.56

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Solution

The fourth proportional to 3,828,137.56, 5,742,228.06 and 988,055.56 is: 1,482,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,137.56 : 5,742,228.06 = 988,055.56 : x
  2. Step 2: Convert to fraction form
    3,828,137.56/5,742,228.06 = 988,055.56/x
  3. Step 3: Cross multiply
    3,828,137.56x = 5,742,228.06 × 988,055.56
  4. Step 4: Simplify right side
    3,828,137.56x = 5,673,640,361,471.01
  5. Step 5: Solve for x
    x = 5,673,640,361,471.01/3,828,137.56
  6. Step 6: Final answer
    x = 1,482,088.95

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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.