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Finding the Fourth Proportional to 309,427.92, 464,142.29 and 84,790.35

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Solution

The fourth proportional to 309,427.92, 464,142.29 and 84,790.35 is: 127,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,427.92 : 464,142.29 = 84,790.35 : x
  2. Step 2: Convert to fraction form
    309,427.92/464,142.29 = 84,790.35/x
  3. Step 3: Cross multiply
    309,427.92x = 464,142.29 × 84,790.35
  4. Step 4: Simplify right side
    309,427.92x = 39,354,786,794.95
  5. Step 5: Solve for x
    x = 39,354,786,794.95/309,427.92
  6. Step 6: Final answer
    x = 127,185.64

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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.