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Finding the Fourth Proportional to 205,436.60, 307,866.90 and 163,388.60

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Solution

The fourth proportional to 205,436.60, 307,866.90 and 163,388.60 is: 244,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,436.60 : 307,866.90 = 163,388.60 : x
  2. Step 2: Convert to fraction form
    205,436.60/307,866.90 = 163,388.60/x
  3. Step 3: Cross multiply
    205,436.60x = 307,866.90 × 163,388.60
  4. Step 4: Simplify right side
    205,436.60x = 50,301,941,777.34
  5. Step 5: Solve for x
    x = 50,301,941,777.34/205,436.60
  6. Step 6: Final answer
    x = 244,853.85

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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.