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Finding the Fourth Proportional to 380,043.80, 569,689.70 and 180,012.60

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Solution

The fourth proportional to 380,043.80, 569,689.70 and 180,012.60 is: 269,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,043.80 : 569,689.70 = 180,012.60 : x
  2. Step 2: Convert to fraction form
    380,043.80/569,689.70 = 180,012.60/x
  3. Step 3: Cross multiply
    380,043.80x = 569,689.70 × 180,012.60
  4. Step 4: Simplify right side
    380,043.80x = 102,551,324,090.22
  5. Step 5: Solve for x
    x = 102,551,324,090.22/380,043.80
  6. Step 6: Final answer
    x = 269,840.80

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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.