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Finding the Fourth Proportional to 285,958.38, 428,940.46 and 86,280.42

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Solution

The fourth proportional to 285,958.38, 428,940.46 and 86,280.42 is: 129,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,958.38 : 428,940.46 = 86,280.42 : x
  2. Step 2: Convert to fraction form
    285,958.38/428,940.46 = 86,280.42/x
  3. Step 3: Cross multiply
    285,958.38x = 428,940.46 × 86,280.42
  4. Step 4: Simplify right side
    285,958.38x = 37,009,163,043.79
  5. Step 5: Solve for x
    x = 37,009,163,043.79/285,958.38
  6. Step 6: Final answer
    x = 129,421.50

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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.