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Finding the Fourth Proportional to 285,563.93, 428,346.83 and 72,331.76

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Solution

The fourth proportional to 285,563.93, 428,346.83 and 72,331.76 is: 108,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,563.93 : 428,346.83 = 72,331.76 : x
  2. Step 2: Convert to fraction form
    285,563.93/428,346.83 = 72,331.76/x
  3. Step 3: Cross multiply
    285,563.93x = 428,346.83 × 72,331.76
  4. Step 4: Simplify right side
    285,563.93x = 30,983,081,356.02
  5. Step 5: Solve for x
    x = 30,983,081,356.02/285,563.93
  6. Step 6: Final answer
    x = 108,497.88

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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.