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Finding the Fourth Proportional to 264,114.30, 396,171.45 and 77,125.80

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Solution

The fourth proportional to 264,114.30, 396,171.45 and 77,125.80 is: 115,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,114.30 : 396,171.45 = 77,125.80 : x
  2. Step 2: Convert to fraction form
    264,114.30/396,171.45 = 77,125.80/x
  3. Step 3: Cross multiply
    264,114.30x = 396,171.45 × 77,125.80
  4. Step 4: Simplify right side
    264,114.30x = 30,555,040,018.41
  5. Step 5: Solve for x
    x = 30,555,040,018.41/264,114.30
  6. Step 6: Final answer
    x = 115,688.70

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1.5x scale

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.