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Finding the Fourth Proportional to 299,381.25, 448,978.44 and 99,654.96

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Solution

The fourth proportional to 299,381.25, 448,978.44 and 99,654.96 is: 149,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,381.25 : 448,978.44 = 99,654.96 : x
  2. Step 2: Convert to fraction form
    299,381.25/448,978.44 = 99,654.96/x
  3. Step 3: Cross multiply
    299,381.25x = 448,978.44 × 99,654.96
  4. Step 4: Simplify right side
    299,381.25x = 44,742,928,479.06
  5. Step 5: Solve for x
    x = 44,742,928,479.06/299,381.25
  6. Step 6: Final answer
    x = 149,451.34

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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.