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Finding the Fourth Proportional to 264,458.40, 396,647.10 and 86,965.80

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Solution

The fourth proportional to 264,458.40, 396,647.10 and 86,965.80 is: 130,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,458.40 : 396,647.10 = 86,965.80 : x
  2. Step 2: Convert to fraction form
    264,458.40/396,647.10 = 86,965.80/x
  3. Step 3: Cross multiply
    264,458.40x = 396,647.10 × 86,965.80
  4. Step 4: Simplify right side
    264,458.40x = 34,494,732,369.18
  5. Step 5: Solve for x
    x = 34,494,732,369.18/264,458.40
  6. Step 6: Final answer
    x = 130,435.38

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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.