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Finding the Fourth Proportional to 309,815.64, 464,679.54 and 99,425.88

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Solution

The fourth proportional to 309,815.64, 464,679.54 and 99,425.88 is: 149,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,815.64 : 464,679.54 = 99,425.88 : x
  2. Step 2: Convert to fraction form
    309,815.64/464,679.54 = 99,425.88/x
  3. Step 3: Cross multiply
    309,815.64x = 464,679.54 × 99,425.88
  4. Step 4: Simplify right side
    309,815.64x = 46,201,172,182.50
  5. Step 5: Solve for x
    x = 46,201,172,182.50/309,815.64
  6. Step 6: Final answer
    x = 149,124.73

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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.