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Finding the Fourth Proportional to 522,821.20, 784,231.80 and 312,350.80

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Solution

The fourth proportional to 522,821.20, 784,231.80 and 312,350.80 is: 468,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,821.20 : 784,231.80 = 312,350.80 : x
  2. Step 2: Convert to fraction form
    522,821.20/784,231.80 = 312,350.80/x
  3. Step 3: Cross multiply
    522,821.20x = 784,231.80 × 312,350.80
  4. Step 4: Simplify right side
    522,821.20x = 244,955,430,115.44
  5. Step 5: Solve for x
    x = 244,955,430,115.44/522,821.20
  6. Step 6: Final answer
    x = 468,526.20

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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.