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Finding the Fourth Proportional to 543,311.90, 815,745.45 and 307,115.90

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Solution

The fourth proportional to 543,311.90, 815,745.45 and 307,115.90 is: 461,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,311.90 : 815,745.45 = 307,115.90 : x
  2. Step 2: Convert to fraction form
    543,311.90/815,745.45 = 307,115.90/x
  3. Step 3: Cross multiply
    543,311.90x = 815,745.45 × 307,115.90
  4. Step 4: Simplify right side
    543,311.90x = 250,528,398,047.66
  5. Step 5: Solve for x
    x = 250,528,398,047.66/543,311.90
  6. Step 6: Final answer
    x = 461,113.40

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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.