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Finding the Fourth Proportional to 201,808.40, 303,004.20 and 152,236.40

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Solution

The fourth proportional to 201,808.40, 303,004.20 and 152,236.40 is: 228,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808.40 : 303,004.20 = 152,236.40 : x
  2. Step 2: Convert to fraction form
    201,808.40/303,004.20 = 152,236.40/x
  3. Step 3: Cross multiply
    201,808.40x = 303,004.20 × 152,236.40
  4. Step 4: Simplify right side
    201,808.40x = 46,128,268,592.88
  5. Step 5: Solve for x
    x = 46,128,268,592.88/201,808.40
  6. Step 6: Final answer
    x = 228,574.57

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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.