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Finding the Fourth Proportional to 349,605.12, 524,408.16 and 149,796

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Solution

The fourth proportional to 349,605.12, 524,408.16 and 149,796 is: 224,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,605.12 : 524,408.16 = 149,796 : x
  2. Step 2: Convert to fraction form
    349,605.12/524,408.16 = 149,796/x
  3. Step 3: Cross multiply
    349,605.12x = 524,408.16 × 149,796
  4. Step 4: Simplify right side
    349,605.12x = 78,554,244,735.36
  5. Step 5: Solve for x
    x = 78,554,244,735.36/349,605.12
  6. Step 6: Final answer
    x = 224,694.21

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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.