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Finding the Fourth Proportional to 205,514.70, 307,980.45 and 151,787.40

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Solution

The fourth proportional to 205,514.70, 307,980.45 and 151,787.40 is: 227,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.70 : 307,980.45 = 151,787.40 : x
  2. Step 2: Convert to fraction form
    205,514.70/307,980.45 = 151,787.40/x
  3. Step 3: Cross multiply
    205,514.70x = 307,980.45 × 151,787.40
  4. Step 4: Simplify right side
    205,514.70x = 46,747,551,756.33
  5. Step 5: Solve for x
    x = 46,747,551,756.33/205,514.70
  6. Step 6: Final answer
    x = 227,465.73

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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.