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Finding the Fourth Proportional to 543,771.50, 815,830.60 and 228,143.66

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Solution

The fourth proportional to 543,771.50, 815,830.60 and 228,143.66 is: 342,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,771.50 : 815,830.60 = 228,143.66 : x
  2. Step 2: Convert to fraction form
    543,771.50/815,830.60 = 228,143.66/x
  3. Step 3: Cross multiply
    543,771.50x = 815,830.60 × 228,143.66
  4. Step 4: Simplify right side
    543,771.50x = 186,126,579,024.00
  5. Step 5: Solve for x
    x = 186,126,579,024.00/543,771.50
  6. Step 6: Final answer
    x = 342,288.22

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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.