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Finding the Fourth Proportional to 551,420.70, 827,131.05 and 502,431.90

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Solution

The fourth proportional to 551,420.70, 827,131.05 and 502,431.90 is: 753,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,420.70 : 827,131.05 = 502,431.90 : x
  2. Step 2: Convert to fraction form
    551,420.70/827,131.05 = 502,431.90/x
  3. Step 3: Cross multiply
    551,420.70x = 827,131.05 × 502,431.90
  4. Step 4: Simplify right side
    551,420.70x = 415,577,025,000.50
  5. Step 5: Solve for x
    x = 415,577,025,000.50/551,420.70
  6. Step 6: Final answer
    x = 753,647.85

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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.