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Finding the Fourth Proportional to 512,420.80, 768,746.40 and 301,950.40

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Solution

The fourth proportional to 512,420.80, 768,746.40 and 301,950.40 is: 452,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,420.80 : 768,746.40 = 301,950.40 : x
  2. Step 2: Convert to fraction form
    512,420.80/768,746.40 = 301,950.40/x
  3. Step 3: Cross multiply
    512,420.80x = 768,746.40 × 301,950.40
  4. Step 4: Simplify right side
    512,420.80x = 232,123,282,978.56
  5. Step 5: Solve for x
    x = 232,123,282,978.56/512,420.80
  6. Step 6: Final answer
    x = 452,993.48

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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.