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Finding the Fourth Proportional to 279,985.80, 419,978.70 and 92,997.30

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Solution

The fourth proportional to 279,985.80, 419,978.70 and 92,997.30 is: 139,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,985.80 : 419,978.70 = 92,997.30 : x
  2. Step 2: Convert to fraction form
    279,985.80/419,978.70 = 92,997.30/x
  3. Step 3: Cross multiply
    279,985.80x = 419,978.70 × 92,997.30
  4. Step 4: Simplify right side
    279,985.80x = 39,056,885,157.51
  5. Step 5: Solve for x
    x = 39,056,885,157.51/279,985.80
  6. Step 6: Final answer
    x = 139,495.95

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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.