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Finding the Fourth Proportional to 546,919.80, 820,379.70 and 459,828.60

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Solution

The fourth proportional to 546,919.80, 820,379.70 and 459,828.60 is: 689,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,919.80 : 820,379.70 = 459,828.60 : x
  2. Step 2: Convert to fraction form
    546,919.80/820,379.70 = 459,828.60/x
  3. Step 3: Cross multiply
    546,919.80x = 820,379.70 × 459,828.60
  4. Step 4: Simplify right side
    546,919.80x = 377,234,048,919.42
  5. Step 5: Solve for x
    x = 377,234,048,919.42/546,919.80
  6. Step 6: Final answer
    x = 689,742.90

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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.