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Finding the Fourth Proportional to 280,233.45, 419,858.10 and 230,041.80

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Solution

The fourth proportional to 280,233.45, 419,858.10 and 230,041.80 is: 344,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,233.45 : 419,858.10 = 230,041.80 : x
  2. Step 2: Convert to fraction form
    280,233.45/419,858.10 = 230,041.80/x
  3. Step 3: Cross multiply
    280,233.45x = 419,858.10 × 230,041.80
  4. Step 4: Simplify right side
    280,233.45x = 96,584,913,068.58
  5. Step 5: Solve for x
    x = 96,584,913,068.58/280,233.45
  6. Step 6: Final answer
    x = 344,658.76

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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.