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Finding the Fourth Proportional to 285,420.68, 428,171.01 and 116,964.96

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Solution

The fourth proportional to 285,420.68, 428,171.01 and 116,964.96 is: 175,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,420.68 : 428,171.01 = 116,964.96 : x
  2. Step 2: Convert to fraction form
    285,420.68/428,171.01 = 116,964.96/x
  3. Step 3: Cross multiply
    285,420.68x = 428,171.01 × 116,964.96
  4. Step 4: Simplify right side
    285,420.68x = 50,081,003,013.55
  5. Step 5: Solve for x
    x = 50,081,003,013.55/285,420.68
  6. Step 6: Final answer
    x = 175,463.82

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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.