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Finding the Fourth Proportional to 643,846.60, 965,769.90 and 312,070.60

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Solution

The fourth proportional to 643,846.60, 965,769.90 and 312,070.60 is: 468,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,846.60 : 965,769.90 = 312,070.60 : x
  2. Step 2: Convert to fraction form
    643,846.60/965,769.90 = 312,070.60/x
  3. Step 3: Cross multiply
    643,846.60x = 965,769.90 × 312,070.60
  4. Step 4: Simplify right side
    643,846.60x = 301,388,392,154.94
  5. Step 5: Solve for x
    x = 301,388,392,154.94/643,846.60
  6. Step 6: Final answer
    x = 468,105.90

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Double scale
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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.