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Finding the Fourth Proportional to 228,711, 342,687.54 and 161,819.64

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Solution

The fourth proportional to 228,711, 342,687.54 and 161,819.64 is: 242,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,711 : 342,687.54 = 161,819.64 : x
  2. Step 2: Convert to fraction form
    228,711/342,687.54 = 161,819.64/x
  3. Step 3: Cross multiply
    228,711x = 342,687.54 × 161,819.64
  4. Step 4: Simplify right side
    228,711x = 55,453,574,355.29
  5. Step 5: Solve for x
    x = 55,453,574,355.29/228,711
  6. Step 6: Final answer
    x = 242,461.33

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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.