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Finding the Fourth Proportional to 309,809.75, 464,708.95 and 85,169.27

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Solution

The fourth proportional to 309,809.75, 464,708.95 and 85,169.27 is: 127,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,809.75 : 464,708.95 = 85,169.27 : x
  2. Step 2: Convert to fraction form
    309,809.75/464,708.95 = 85,169.27/x
  3. Step 3: Cross multiply
    309,809.75x = 464,708.95 × 85,169.27
  4. Step 4: Simplify right side
    309,809.75x = 39,578,922,982.82
  5. Step 5: Solve for x
    x = 39,578,922,982.82/309,809.75
  6. Step 6: Final answer
    x = 127,752.35

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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.