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Finding the Fourth Proportional to 228,885.60, 343,609.20 and 144,645.60

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Solution

The fourth proportional to 228,885.60, 343,609.20 and 144,645.60 is: 217,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,885.60 : 343,609.20 = 144,645.60 : x
  2. Step 2: Convert to fraction form
    228,885.60/343,609.20 = 144,645.60/x
  3. Step 3: Cross multiply
    228,885.60x = 343,609.20 × 144,645.60
  4. Step 4: Simplify right side
    228,885.60x = 49,701,558,899.52
  5. Step 5: Solve for x
    x = 49,701,558,899.52/228,885.60
  6. Step 6: Final answer
    x = 217,145.85

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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.