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Finding the Fourth Proportional to 275,843.80, 413,765.70 and 163,869.40

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Solution

The fourth proportional to 275,843.80, 413,765.70 and 163,869.40 is: 245,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,843.80 : 413,765.70 = 163,869.40 : x
  2. Step 2: Convert to fraction form
    275,843.80/413,765.70 = 163,869.40/x
  3. Step 3: Cross multiply
    275,843.80x = 413,765.70 × 163,869.40
  4. Step 4: Simplify right side
    275,843.80x = 67,803,536,999.58
  5. Step 5: Solve for x
    x = 67,803,536,999.58/275,843.80
  6. Step 6: Final answer
    x = 245,804.10

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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.