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Finding the Fourth Proportional to 380,728.24, 525,408.64 and 210,966

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Solution

The fourth proportional to 380,728.24, 525,408.64 and 210,966 is: 291,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,728.24 : 525,408.64 = 210,966 : x
  2. Step 2: Convert to fraction form
    380,728.24/525,408.64 = 210,966/x
  3. Step 3: Cross multiply
    380,728.24x = 525,408.64 × 210,966
  4. Step 4: Simplify right side
    380,728.24x = 110,843,359,146.24
  5. Step 5: Solve for x
    x = 110,843,359,146.24/380,728.24
  6. Step 6: Final answer
    x = 291,135.11

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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.