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Finding the Fourth Proportional to 275,845.80, 413,768.70 and 163,871.40

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Solution

The fourth proportional to 275,845.80, 413,768.70 and 163,871.40 is: 245,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,845.80 : 413,768.70 = 163,871.40 : x
  2. Step 2: Convert to fraction form
    275,845.80/413,768.70 = 163,871.40/x
  3. Step 3: Cross multiply
    275,845.80x = 413,768.70 × 163,871.40
  4. Step 4: Simplify right side
    275,845.80x = 67,804,856,145.18
  5. Step 5: Solve for x
    x = 67,804,856,145.18/275,845.80
  6. Step 6: Final answer
    x = 245,807.10

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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.