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Finding the Fourth Proportional to 279,654.28, 419,488.70 and 69,289.16

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Solution

The fourth proportional to 279,654.28, 419,488.70 and 69,289.16 is: 103,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,654.28 : 419,488.70 = 69,289.16 : x
  2. Step 2: Convert to fraction form
    279,654.28/419,488.70 = 69,289.16/x
  3. Step 3: Cross multiply
    279,654.28x = 419,488.70 × 69,289.16
  4. Step 4: Simplify right side
    279,654.28x = 29,066,019,652.49
  5. Step 5: Solve for x
    x = 29,066,019,652.49/279,654.28
  6. Step 6: Final answer
    x = 103,935.54

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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.