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Finding the Fourth Proportional to 309,381.58, 464,005.54 and 109,708.48

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Solution

The fourth proportional to 309,381.58, 464,005.54 and 109,708.48 is: 164,539.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,381.58 : 464,005.54 = 109,708.48 : x
  2. Step 2: Convert to fraction form
    309,381.58/464,005.54 = 109,708.48/x
  3. Step 3: Cross multiply
    309,381.58x = 464,005.54 × 109,708.48
  4. Step 4: Simplify right side
    309,381.58x = 50,905,342,504.98
  5. Step 5: Solve for x
    x = 50,905,342,504.98/309,381.58
  6. Step 6: Final answer
    x = 164,539.02

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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.