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Finding the Fourth Proportional to 665,600.20, 997,817.10 and 399,077.80

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Solution

The fourth proportional to 665,600.20, 997,817.10 and 399,077.80 is: 598,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,600.20 : 997,817.10 = 399,077.80 : x
  2. Step 2: Convert to fraction form
    665,600.20/997,817.10 = 399,077.80/x
  3. Step 3: Cross multiply
    665,600.20x = 997,817.10 × 399,077.80
  4. Step 4: Simplify right side
    665,600.20x = 398,206,653,070.38
  5. Step 5: Solve for x
    x = 398,206,653,070.38/665,600.20
  6. Step 6: Final answer
    x = 598,267.03

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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.