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Finding the Fourth Proportional to 278,892.45, 417,846.60 and 228,700.80

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Solution

The fourth proportional to 278,892.45, 417,846.60 and 228,700.80 is: 342,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,892.45 : 417,846.60 = 228,700.80 : x
  2. Step 2: Convert to fraction form
    278,892.45/417,846.60 = 228,700.80/x
  3. Step 3: Cross multiply
    278,892.45x = 417,846.60 × 228,700.80
  4. Step 4: Simplify right side
    278,892.45x = 95,561,851,697.28
  5. Step 5: Solve for x
    x = 95,561,851,697.28/278,892.45
  6. Step 6: Final answer
    x = 342,647.68

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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.