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Finding the Fourth Proportional to 201,780.60, 302,768.10 and 154,379.40

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Solution

The fourth proportional to 201,780.60, 302,768.10 and 154,379.40 is: 231,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,780.60 : 302,768.10 = 154,379.40 : x
  2. Step 2: Convert to fraction form
    201,780.60/302,768.10 = 154,379.40/x
  3. Step 3: Cross multiply
    201,780.60x = 302,768.10 × 154,379.40
  4. Step 4: Simplify right side
    201,780.60x = 46,741,157,617.14
  5. Step 5: Solve for x
    x = 46,741,157,617.14/201,780.60
  6. Step 6: Final answer
    x = 231,643.47

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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.