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Finding the Fourth Proportional to 309,834, 464,721.84 and 99,473.76

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Solution

The fourth proportional to 309,834, 464,721.84 and 99,473.76 is: 149,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,834 : 464,721.84 = 99,473.76 : x
  2. Step 2: Convert to fraction form
    309,834/464,721.84 = 99,473.76/x
  3. Step 3: Cross multiply
    309,834x = 464,721.84 × 99,473.76
  4. Step 4: Simplify right side
    309,834x = 46,227,628,778.92
  5. Step 5: Solve for x
    x = 46,227,628,778.92/309,834
  6. Step 6: Final answer
    x = 149,201.28

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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.