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Finding the Fourth Proportional to 275,695.19, 380,504.43 and 189,582.06

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Solution

The fourth proportional to 275,695.19, 380,504.43 and 189,582.06 is: 261,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,695.19 : 380,504.43 = 189,582.06 : x
  2. Step 2: Convert to fraction form
    275,695.19/380,504.43 = 189,582.06/x
  3. Step 3: Cross multiply
    275,695.19x = 380,504.43 × 189,582.06
  4. Step 4: Simplify right side
    275,695.19x = 72,136,813,678.53
  5. Step 5: Solve for x
    x = 72,136,813,678.53/275,695.19
  6. Step 6: Final answer
    x = 261,654.24

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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.