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Finding the Fourth Proportional to 274,036.40, 410,390.20 and 189,559.52

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Solution

The fourth proportional to 274,036.40, 410,390.20 and 189,559.52 is: 283,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,036.40 : 410,390.20 = 189,559.52 : x
  2. Step 2: Convert to fraction form
    274,036.40/410,390.20 = 189,559.52/x
  3. Step 3: Cross multiply
    274,036.40x = 410,390.20 × 189,559.52
  4. Step 4: Simplify right side
    274,036.40x = 77,793,369,324.70
  5. Step 5: Solve for x
    x = 77,793,369,324.70/274,036.40
  6. Step 6: Final answer
    x = 283,879.69

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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.