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Finding the Fourth Proportional to 553,647.12, 764,035.66 and 311,933.54

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Solution

The fourth proportional to 553,647.12, 764,035.66 and 311,933.54 is: 430,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,647.12 : 764,035.66 = 311,933.54 : x
  2. Step 2: Convert to fraction form
    553,647.12/764,035.66 = 311,933.54/x
  3. Step 3: Cross multiply
    553,647.12x = 764,035.66 × 311,933.54
  4. Step 4: Simplify right side
    553,647.12x = 238,328,348,110.04
  5. Step 5: Solve for x
    x = 238,328,348,110.04/553,647.12
  6. Step 6: Final answer
    x = 430,469.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.