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Finding the Fourth Proportional to 264,145.80, 396,218.70 and 77,157.30

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Solution

The fourth proportional to 264,145.80, 396,218.70 and 77,157.30 is: 115,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,145.80 : 396,218.70 = 77,157.30 : x
  2. Step 2: Convert to fraction form
    264,145.80/396,218.70 = 77,157.30/x
  3. Step 3: Cross multiply
    264,145.80x = 396,218.70 × 77,157.30
  4. Step 4: Simplify right side
    264,145.80x = 30,571,165,101.51
  5. Step 5: Solve for x
    x = 30,571,165,101.51/264,145.80
  6. Step 6: Final answer
    x = 115,735.95

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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.