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Finding the Fourth Proportional to 819,073, 1,228,609.50 and 228,097

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Solution

The fourth proportional to 819,073, 1,228,609.50 and 228,097 is: 342,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,073 : 1,228,609.50 = 228,097 : x
  2. Step 2: Convert to fraction form
    819,073/1,228,609.50 = 228,097/x
  3. Step 3: Cross multiply
    819,073x = 1,228,609.50 × 228,097
  4. Step 4: Simplify right side
    819,073x = 280,242,141,121.50
  5. Step 5: Solve for x
    x = 280,242,141,121.50/819,073
  6. Step 6: Final answer
    x = 342,145.50

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Similar ratio
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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.