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Finding the Fourth Proportional to 409,185.12, 613,408.32 and 172,542

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Solution

The fourth proportional to 409,185.12, 613,408.32 and 172,542 is: 258,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,185.12 : 613,408.32 = 172,542 : x
  2. Step 2: Convert to fraction form
    409,185.12/613,408.32 = 172,542/x
  3. Step 3: Cross multiply
    409,185.12x = 613,408.32 × 172,542
  4. Step 4: Simplify right side
    409,185.12x = 105,838,698,349.44
  5. Step 5: Solve for x
    x = 105,838,698,349.44/409,185.12
  6. Step 6: Final answer
    x = 258,657.25

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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.