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Finding the Fourth Proportional to 546,881.20, 820,321.80 and 489,308.43

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Solution

The fourth proportional to 546,881.20, 820,321.80 and 489,308.43 is: 733,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,881.20 : 820,321.80 = 489,308.43 : x
  2. Step 2: Convert to fraction form
    546,881.20/820,321.80 = 489,308.43/x
  3. Step 3: Cross multiply
    546,881.20x = 820,321.80 × 489,308.43
  4. Step 4: Simplify right side
    546,881.20x = 401,390,372,052.77
  5. Step 5: Solve for x
    x = 401,390,372,052.77/546,881.20
  6. Step 6: Final answer
    x = 733,962.65

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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.