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Finding the Fourth Proportional to 264,112.80, 396,169.20 and 77,124.30

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Solution

The fourth proportional to 264,112.80, 396,169.20 and 77,124.30 is: 115,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,112.80 : 396,169.20 = 77,124.30 : x
  2. Step 2: Convert to fraction form
    264,112.80/396,169.20 = 77,124.30/x
  3. Step 3: Cross multiply
    264,112.80x = 396,169.20 × 77,124.30
  4. Step 4: Simplify right side
    264,112.80x = 30,554,272,231.56
  5. Step 5: Solve for x
    x = 30,554,272,231.56/264,112.80
  6. Step 6: Final answer
    x = 115,686.45

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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.