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Finding the Fourth Proportional to 201,430.60, 302,145.90 and 151,238.95

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Solution

The fourth proportional to 201,430.60, 302,145.90 and 151,238.95 is: 226,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430.60 : 302,145.90 = 151,238.95 : x
  2. Step 2: Convert to fraction form
    201,430.60/302,145.90 = 151,238.95/x
  3. Step 3: Cross multiply
    201,430.60x = 302,145.90 × 151,238.95
  4. Step 4: Simplify right side
    201,430.60x = 45,696,228,662.81
  5. Step 5: Solve for x
    x = 45,696,228,662.81/201,430.60
  6. Step 6: Final answer
    x = 226,858.43

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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.