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Finding the Fourth Proportional to 228,838.71, 343,280.82 and 84,783.07

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Solution

The fourth proportional to 228,838.71, 343,280.82 and 84,783.07 is: 127,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,838.71 : 343,280.82 = 84,783.07 : x
  2. Step 2: Convert to fraction form
    228,838.71/343,280.82 = 84,783.07/x
  3. Step 3: Cross multiply
    228,838.71x = 343,280.82 × 84,783.07
  4. Step 4: Simplify right side
    228,838.71x = 29,104,401,367.80
  5. Step 5: Solve for x
    x = 29,104,401,367.80/228,838.71
  6. Step 6: Final answer
    x = 127,183.03

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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.