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Finding the Fourth Proportional to 279,985.80, 419,978.70 and 275,320.20

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Solution

The fourth proportional to 279,985.80, 419,978.70 and 275,320.20 is: 412,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,985.80 : 419,978.70 = 275,320.20 : x
  2. Step 2: Convert to fraction form
    279,985.80/419,978.70 = 275,320.20/x
  3. Step 3: Cross multiply
    279,985.80x = 419,978.70 × 275,320.20
  4. Step 4: Simplify right side
    279,985.80x = 115,628,619,679.74
  5. Step 5: Solve for x
    x = 115,628,619,679.74/279,985.80
  6. Step 6: Final answer
    x = 412,980.30

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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.