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Finding the Fourth Proportional to 546,860.80, 820,291.20 and 414,000.55

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Solution

The fourth proportional to 546,860.80, 820,291.20 and 414,000.55 is: 621,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,860.80 : 820,291.20 = 414,000.55 : x
  2. Step 2: Convert to fraction form
    546,860.80/820,291.20 = 414,000.55/x
  3. Step 3: Cross multiply
    546,860.80x = 820,291.20 × 414,000.55
  4. Step 4: Simplify right side
    546,860.80x = 339,601,007,960.16
  5. Step 5: Solve for x
    x = 339,601,007,960.16/546,860.80
  6. Step 6: Final answer
    x = 621,000.83

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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.