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Finding the Fourth Proportional to 279,978.16, 420,164.04 and 253,209.28

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Solution

The fourth proportional to 279,978.16, 420,164.04 and 253,209.28 is: 379,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,978.16 : 420,164.04 = 253,209.28 : x
  2. Step 2: Convert to fraction form
    279,978.16/420,164.04 = 253,209.28/x
  3. Step 3: Cross multiply
    279,978.16x = 420,164.04 × 253,209.28
  4. Step 4: Simplify right side
    279,978.16x = 106,389,434,050.29
  5. Step 5: Solve for x
    x = 106,389,434,050.29/279,978.16
  6. Step 6: Final answer
    x = 379,991.90

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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.