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Finding the Fourth Proportional to 279,978.60, 419,967.90 and 174,856.80

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Solution

The fourth proportional to 279,978.60, 419,967.90 and 174,856.80 is: 262,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,978.60 : 419,967.90 = 174,856.80 : x
  2. Step 2: Convert to fraction form
    279,978.60/419,967.90 = 174,856.80/x
  3. Step 3: Cross multiply
    279,978.60x = 419,967.90 × 174,856.80
  4. Step 4: Simplify right side
    279,978.60x = 73,434,243,096.72
  5. Step 5: Solve for x
    x = 73,434,243,096.72/279,978.60
  6. Step 6: Final answer
    x = 262,285.20

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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.