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Finding the Fourth Proportional to 309,401.39, 464,102.49 and 84,763.80

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Solution

The fourth proportional to 309,401.39, 464,102.49 and 84,763.80 is: 127,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,401.39 : 464,102.49 = 84,763.80 : x
  2. Step 2: Convert to fraction form
    309,401.39/464,102.49 = 84,763.80/x
  3. Step 3: Cross multiply
    309,401.39x = 464,102.49 × 84,763.80
  4. Step 4: Simplify right side
    309,401.39x = 39,339,090,641.86
  5. Step 5: Solve for x
    x = 39,339,090,641.86/309,401.39
  6. Step 6: Final answer
    x = 127,145.81

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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.