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Finding the Fourth Proportional to 543,771, 815,829.84 and 228,143.16

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Solution

The fourth proportional to 543,771, 815,829.84 and 228,143.16 is: 342,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,771 : 815,829.84 = 228,143.16 : x
  2. Step 2: Convert to fraction form
    543,771/815,829.84 = 228,143.16/x
  3. Step 3: Cross multiply
    543,771x = 815,829.84 × 228,143.16
  4. Step 4: Simplify right side
    543,771x = 186,125,997,719.89
  5. Step 5: Solve for x
    x = 186,125,997,719.89/543,771
  6. Step 6: Final answer
    x = 342,287.47

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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.