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Finding the Fourth Proportional to 264,540.80, 396,811.20 and 77,552.30

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Solution

The fourth proportional to 264,540.80, 396,811.20 and 77,552.30 is: 116,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,540.80 : 396,811.20 = 77,552.30 : x
  2. Step 2: Convert to fraction form
    264,540.80/396,811.20 = 77,552.30/x
  3. Step 3: Cross multiply
    264,540.80x = 396,811.20 × 77,552.30
  4. Step 4: Simplify right side
    264,540.80x = 30,773,621,225.76
  5. Step 5: Solve for x
    x = 30,773,621,225.76/264,540.80
  6. Step 6: Final answer
    x = 116,328.45

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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.