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Finding the Fourth Proportional to 665,291.78, 997,728.54 and 215,908.84

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Solution

The fourth proportional to 665,291.78, 997,728.54 and 215,908.84 is: 323,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,291.78 : 997,728.54 = 215,908.84 : x
  2. Step 2: Convert to fraction form
    665,291.78/997,728.54 = 215,908.84/x
  3. Step 3: Cross multiply
    665,291.78x = 997,728.54 × 215,908.84
  4. Step 4: Simplify right side
    665,291.78x = 215,418,412,143.80
  5. Step 5: Solve for x
    x = 215,418,412,143.80/665,291.78
  6. Step 6: Final answer
    x = 323,795.39

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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.