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Finding the Fourth Proportional to 281,036.94, 421,470.33 and 147,843.74

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Solution

The fourth proportional to 281,036.94, 421,470.33 and 147,843.74 is: 221,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,036.94 : 421,470.33 = 147,843.74 : x
  2. Step 2: Convert to fraction form
    281,036.94/421,470.33 = 147,843.74/x
  3. Step 3: Cross multiply
    281,036.94x = 421,470.33 × 147,843.74
  4. Step 4: Simplify right side
    281,036.94x = 62,311,749,886.23
  5. Step 5: Solve for x
    x = 62,311,749,886.23/281,036.94
  6. Step 6: Final answer
    x = 221,720.85

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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.