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Finding the Fourth Proportional to 382,274.78, 527,552.73 and 210,205.87

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Solution

The fourth proportional to 382,274.78, 527,552.73 and 210,205.87 is: 290,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,274.78 : 527,552.73 = 210,205.87 : x
  2. Step 2: Convert to fraction form
    382,274.78/527,552.73 = 210,205.87/x
  3. Step 3: Cross multiply
    382,274.78x = 527,552.73 × 210,205.87
  4. Step 4: Simplify right side
    382,274.78x = 110,894,679,261.64
  5. Step 5: Solve for x
    x = 110,894,679,261.64/382,274.78
  6. Step 6: Final answer
    x = 290,091.54

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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.