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Finding the Fourth Proportional to 546,780.40, 820,170.60 and 307,631.95

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Solution

The fourth proportional to 546,780.40, 820,170.60 and 307,631.95 is: 461,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,780.40 : 820,170.60 = 307,631.95 : x
  2. Step 2: Convert to fraction form
    546,780.40/820,170.60 = 307,631.95/x
  3. Step 3: Cross multiply
    546,780.40x = 820,170.60 × 307,631.95
  4. Step 4: Simplify right side
    546,780.40x = 252,310,681,010.67
  5. Step 5: Solve for x
    x = 252,310,681,010.67/546,780.40
  6. Step 6: Final answer
    x = 461,447.93

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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.