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Finding the Fourth Proportional to 546,937.89, 820,406.82 and 147,578.64

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Solution

The fourth proportional to 546,937.89, 820,406.82 and 147,578.64 is: 221,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,937.89 : 820,406.82 = 147,578.64 : x
  2. Step 2: Convert to fraction form
    546,937.89/820,406.82 = 147,578.64/x
  3. Step 3: Cross multiply
    546,937.89x = 820,406.82 × 147,578.64
  4. Step 4: Simplify right side
    546,937.89x = 121,074,522,742.33
  5. Step 5: Solve for x
    x = 121,074,522,742.33/546,937.89
  6. Step 6: Final answer
    x = 221,367.96

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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.