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Finding the Fourth Proportional to 648,043.56, 972,065.34 and 204,777

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Solution

The fourth proportional to 648,043.56, 972,065.34 and 204,777 is: 307,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,043.56 : 972,065.34 = 204,777 : x
  2. Step 2: Convert to fraction form
    648,043.56/972,065.34 = 204,777/x
  3. Step 3: Cross multiply
    648,043.56x = 972,065.34 × 204,777
  4. Step 4: Simplify right side
    648,043.56x = 199,056,624,129.18
  5. Step 5: Solve for x
    x = 199,056,624,129.18/648,043.56
  6. Step 6: Final answer
    x = 307,165.50

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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.