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Finding the Fourth Proportional to 273,848.40, 410,815.80 and 86,878.80

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Solution

The fourth proportional to 273,848.40, 410,815.80 and 86,878.80 is: 130,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,848.40 : 410,815.80 = 86,878.80 : x
  2. Step 2: Convert to fraction form
    273,848.40/410,815.80 = 86,878.80/x
  3. Step 3: Cross multiply
    273,848.40x = 410,815.80 × 86,878.80
  4. Step 4: Simplify right side
    273,848.40x = 35,691,183,725.04
  5. Step 5: Solve for x
    x = 35,691,183,725.04/273,848.40
  6. Step 6: Final answer
    x = 130,331.91

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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.