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Finding the Fourth Proportional to 309,940.80, 464,468.40 and 176,539.20

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Solution

The fourth proportional to 309,940.80, 464,468.40 and 176,539.20 is: 264,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,940.80 : 464,468.40 = 176,539.20 : x
  2. Step 2: Convert to fraction form
    309,940.80/464,468.40 = 176,539.20/x
  3. Step 3: Cross multiply
    309,940.80x = 464,468.40 × 176,539.20
  4. Step 4: Simplify right side
    309,940.80x = 81,996,879,761.28
  5. Step 5: Solve for x
    x = 81,996,879,761.28/309,940.80
  6. Step 6: Final answer
    x = 264,556.59

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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.