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Finding the Fourth Proportional to 644,471.64, 965,980.89 and 307,236.24

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Solution

The fourth proportional to 644,471.64, 965,980.89 and 307,236.24 is: 460,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,471.64 : 965,980.89 = 307,236.24 : x
  2. Step 2: Convert to fraction form
    644,471.64/965,980.89 = 307,236.24/x
  3. Step 3: Cross multiply
    644,471.64x = 965,980.89 × 307,236.24
  4. Step 4: Simplify right side
    644,471.64x = 296,784,336,555.45
  5. Step 5: Solve for x
    x = 296,784,336,555.45/644,471.64
  6. Step 6: Final answer
    x = 460,507.99

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Double scale
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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.