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Finding the Fourth Proportional to 205,419.60, 307,841.40 and 163,371.60

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Solution

The fourth proportional to 205,419.60, 307,841.40 and 163,371.60 is: 244,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,419.60 : 307,841.40 = 163,371.60 : x
  2. Step 2: Convert to fraction form
    205,419.60/307,841.40 = 163,371.60/x
  3. Step 3: Cross multiply
    205,419.60x = 307,841.40 × 163,371.60
  4. Step 4: Simplify right side
    205,419.60x = 50,292,542,064.24
  5. Step 5: Solve for x
    x = 50,292,542,064.24/205,419.60
  6. Step 6: Final answer
    x = 244,828.35

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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.