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Finding the Fourth Proportional to 543,623.90, 815,431.80 and 164,543.90

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Solution

The fourth proportional to 543,623.90, 815,431.80 and 164,543.90 is: 246,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,623.90 : 815,431.80 = 164,543.90 : x
  2. Step 2: Convert to fraction form
    543,623.90/815,431.80 = 164,543.90/x
  3. Step 3: Cross multiply
    543,623.90x = 815,431.80 × 164,543.90
  4. Step 4: Simplify right side
    543,623.90x = 134,174,328,556.02
  5. Step 5: Solve for x
    x = 134,174,328,556.02/543,623.90
  6. Step 6: Final answer
    x = 246,814.62

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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.