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Finding the Fourth Proportional to 546,750.80, 820,126.20 and 413,890.55

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Solution

The fourth proportional to 546,750.80, 820,126.20 and 413,890.55 is: 620,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,750.80 : 820,126.20 = 413,890.55 : x
  2. Step 2: Convert to fraction form
    546,750.80/820,126.20 = 413,890.55/x
  3. Step 3: Cross multiply
    546,750.80x = 820,126.20 × 413,890.55
  4. Step 4: Simplify right side
    546,750.80x = 339,442,483,987.41
  5. Step 5: Solve for x
    x = 339,442,483,987.41/546,750.80
  6. Step 6: Final answer
    x = 620,835.83

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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.