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Finding the Fourth Proportional to 665,089.94, 997,734.54 and 215,661.44

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Solution

The fourth proportional to 665,089.94, 997,734.54 and 215,661.44 is: 323,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,089.94 : 997,734.54 = 215,661.44 : x
  2. Step 2: Convert to fraction form
    665,089.94/997,734.54 = 215,661.44/x
  3. Step 3: Cross multiply
    665,089.94x = 997,734.54 × 215,661.44
  4. Step 4: Simplify right side
    665,089.94x = 215,172,870,937.20
  5. Step 5: Solve for x
    x = 215,172,870,937.20/665,089.94
  6. Step 6: Final answer
    x = 323,524.47

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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.