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Finding the Fourth Proportional to 279,986.16, 420,176.04 and 253,217.28

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Solution

The fourth proportional to 279,986.16, 420,176.04 and 253,217.28 is: 380,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,986.16 : 420,176.04 = 253,217.28 : x
  2. Step 2: Convert to fraction form
    279,986.16/420,176.04 = 253,217.28/x
  3. Step 3: Cross multiply
    279,986.16x = 420,176.04 × 253,217.28
  4. Step 4: Simplify right side
    279,986.16x = 106,395,833,969.97
  5. Step 5: Solve for x
    x = 106,395,833,969.97/279,986.16
  6. Step 6: Final answer
    x = 380,003.90

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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.