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Finding the Fourth Proportional to 665,012.13, 997,658.45 and 215,698.09

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Solution

The fourth proportional to 665,012.13, 997,658.45 and 215,698.09 is: 323,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,012.13 : 997,658.45 = 215,698.09 : x
  2. Step 2: Convert to fraction form
    665,012.13/997,658.45 = 215,698.09/x
  3. Step 3: Cross multiply
    665,012.13x = 997,658.45 × 215,698.09
  4. Step 4: Simplify right side
    665,012.13x = 215,193,022,137.36
  5. Step 5: Solve for x
    x = 215,193,022,137.36/665,012.13
  6. Step 6: Final answer
    x = 323,592.63

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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.