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Finding the Fourth Proportional to 264,711.20, 397,028.40 and 77,703.20

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Solution

The fourth proportional to 264,711.20, 397,028.40 and 77,703.20 is: 116,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,711.20 : 397,028.40 = 77,703.20 : x
  2. Step 2: Convert to fraction form
    264,711.20/397,028.40 = 77,703.20/x
  3. Step 3: Cross multiply
    264,711.20x = 397,028.40 × 77,703.20
  4. Step 4: Simplify right side
    264,711.20x = 30,850,377,170.88
  5. Step 5: Solve for x
    x = 30,850,377,170.88/264,711.20
  6. Step 6: Final answer
    x = 116,543.53

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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.