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Finding the Fourth Proportional to 201,346.70, 302,020.05 and 181,301.90

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Solution

The fourth proportional to 201,346.70, 302,020.05 and 181,301.90 is: 271,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.70 : 302,020.05 = 181,301.90 : x
  2. Step 2: Convert to fraction form
    201,346.70/302,020.05 = 181,301.90/x
  3. Step 3: Cross multiply
    201,346.70x = 302,020.05 × 181,301.90
  4. Step 4: Simplify right side
    201,346.70x = 54,756,808,903.10
  5. Step 5: Solve for x
    x = 54,756,808,903.10/201,346.70
  6. Step 6: Final answer
    x = 271,952.85

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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.