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Finding the Fourth Proportional to 547,309.40, 820,964.10 and 509,984.60

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Solution

The fourth proportional to 547,309.40, 820,964.10 and 509,984.60 is: 764,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,309.40 : 820,964.10 = 509,984.60 : x
  2. Step 2: Convert to fraction form
    547,309.40/820,964.10 = 509,984.60/x
  3. Step 3: Cross multiply
    547,309.40x = 820,964.10 × 509,984.60
  4. Step 4: Simplify right side
    547,309.40x = 418,679,048,152.86
  5. Step 5: Solve for x
    x = 418,679,048,152.86/547,309.40
  6. Step 6: Final answer
    x = 764,976.90

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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.