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Finding the Fourth Proportional to 664,115.16, 916,476.90 and 362,307

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Solution

The fourth proportional to 664,115.16, 916,476.90 and 362,307 is: 499,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,115.16 : 916,476.90 = 362,307 : x
  2. Step 2: Convert to fraction form
    664,115.16/916,476.90 = 362,307/x
  3. Step 3: Cross multiply
    664,115.16x = 916,476.90 × 362,307
  4. Step 4: Simplify right side
    664,115.16x = 332,045,996,208.30
  5. Step 5: Solve for x
    x = 332,045,996,208.30/664,115.16
  6. Step 6: Final answer
    x = 499,982.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.