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Finding the Fourth Proportional to 213,901.60, 320,852.40 and 202,496.80

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Solution

The fourth proportional to 213,901.60, 320,852.40 and 202,496.80 is: 303,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,901.60 : 320,852.40 = 202,496.80 : x
  2. Step 2: Convert to fraction form
    213,901.60/320,852.40 = 202,496.80/x
  3. Step 3: Cross multiply
    213,901.60x = 320,852.40 × 202,496.80
  4. Step 4: Simplify right side
    213,901.60x = 64,971,584,272.32
  5. Step 5: Solve for x
    x = 64,971,584,272.32/213,901.60
  6. Step 6: Final answer
    x = 303,745.20

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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.