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Finding the Fourth Proportional to 275,880, 380,714.80 and 156,648

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Solution

The fourth proportional to 275,880, 380,714.80 and 156,648 is: 216,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,880 : 380,714.80 = 156,648 : x
  2. Step 2: Convert to fraction form
    275,880/380,714.80 = 156,648/x
  3. Step 3: Cross multiply
    275,880x = 380,714.80 × 156,648
  4. Step 4: Simplify right side
    275,880x = 59,638,211,990.40
  5. Step 5: Solve for x
    x = 59,638,211,990.40/275,880
  6. Step 6: Final answer
    x = 216,174.47

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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.