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Finding the Fourth Proportional to 309,817.64, 464,682.54 and 99,427.88

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Solution

The fourth proportional to 309,817.64, 464,682.54 and 99,427.88 is: 149,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,817.64 : 464,682.54 = 99,427.88 : x
  2. Step 2: Convert to fraction form
    309,817.64/464,682.54 = 99,427.88/x
  3. Step 3: Cross multiply
    309,817.64x = 464,682.54 × 99,427.88
  4. Step 4: Simplify right side
    309,817.64x = 46,202,399,825.22
  5. Step 5: Solve for x
    x = 46,202,399,825.22/309,817.64
  6. Step 6: Final answer
    x = 149,127.73

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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.