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Finding the Fourth Proportional to 374,907, 517,378.14 and 205,143.96

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Solution

The fourth proportional to 374,907, 517,378.14 and 205,143.96 is: 283,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,907 : 517,378.14 = 205,143.96 : x
  2. Step 2: Convert to fraction form
    374,907/517,378.14 = 205,143.96/x
  3. Step 3: Cross multiply
    374,907x = 517,378.14 × 205,143.96
  4. Step 4: Simplify right side
    374,907x = 106,137,000,457.03
  5. Step 5: Solve for x
    x = 106,137,000,457.03/374,907
  6. Step 6: Final answer
    x = 283,102.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.