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Finding the Fourth Proportional to 546,796.72, 820,237.88 and 147,431.36

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Solution

The fourth proportional to 546,796.72, 820,237.88 and 147,431.36 is: 221,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,796.72 : 820,237.88 = 147,431.36 : x
  2. Step 2: Convert to fraction form
    546,796.72/820,237.88 = 147,431.36/x
  3. Step 3: Cross multiply
    546,796.72x = 820,237.88 × 147,431.36
  4. Step 4: Simplify right side
    546,796.72x = 120,928,786,171.92
  5. Step 5: Solve for x
    x = 120,928,786,171.92/546,796.72
  6. Step 6: Final answer
    x = 221,158.58

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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.