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Finding the Fourth Proportional to 264,311.79, 396,509.00 and 86,778.42

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Solution

The fourth proportional to 264,311.79, 396,509.00 and 86,778.42 is: 130,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,311.79 : 396,509.00 = 86,778.42 : x
  2. Step 2: Convert to fraction form
    264,311.79/396,509.00 = 86,778.42/x
  3. Step 3: Cross multiply
    264,311.79x = 396,509.00 × 86,778.42
  4. Step 4: Simplify right side
    264,311.79x = 34,408,424,101.89
  5. Step 5: Solve for x
    x = 34,408,424,101.89/264,311.79
  6. Step 6: Final answer
    x = 130,181.19

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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.