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Finding the Fourth Proportional to 228,015.50, 342,028.11 and 78,255.14

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Solution

The fourth proportional to 228,015.50, 342,028.11 and 78,255.14 is: 117,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,015.50 : 342,028.11 = 78,255.14 : x
  2. Step 2: Convert to fraction form
    228,015.50/342,028.11 = 78,255.14/x
  3. Step 3: Cross multiply
    228,015.50x = 342,028.11 × 78,255.14
  4. Step 4: Simplify right side
    228,015.50x = 26,765,457,631.99
  5. Step 5: Solve for x
    x = 26,765,457,631.99/228,015.50
  6. Step 6: Final answer
    x = 117,384.38

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1.5x scale

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.