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Finding the Fourth Proportional to 264,242, 396,404.28 and 86,708.64

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Solution

The fourth proportional to 264,242, 396,404.28 and 86,708.64 is: 130,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,242 : 396,404.28 = 86,708.64 : x
  2. Step 2: Convert to fraction form
    264,242/396,404.28 = 86,708.64/x
  3. Step 3: Cross multiply
    264,242x = 396,404.28 × 86,708.64
  4. Step 4: Simplify right side
    264,242x = 34,371,676,008.98
  5. Step 5: Solve for x
    x = 34,371,676,008.98/264,242
  6. Step 6: Final answer
    x = 130,076.51

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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.