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Finding the Fourth Proportional to 380,553.40, 570,055.02 and 180,266.68

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Solution

The fourth proportional to 380,553.40, 570,055.02 and 180,266.68 is: 270,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,553.40 : 570,055.02 = 180,266.68 : x
  2. Step 2: Convert to fraction form
    380,553.40/570,055.02 = 180,266.68/x
  3. Step 3: Cross multiply
    380,553.40x = 570,055.02 × 180,266.68
  4. Step 4: Simplify right side
    380,553.40x = 102,761,925,872.73
  5. Step 5: Solve for x
    x = 102,761,925,872.73/380,553.40
  6. Step 6: Final answer
    x = 270,032.87

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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.