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Finding the Fourth Proportional to 382,635.64, 528,036.78 and 212,866.12

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Solution

The fourth proportional to 382,635.64, 528,036.78 and 212,866.12 is: 293,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,635.64 : 528,036.78 = 212,866.12 : x
  2. Step 2: Convert to fraction form
    382,635.64/528,036.78 = 212,866.12/x
  3. Step 3: Cross multiply
    382,635.64x = 528,036.78 × 212,866.12
  4. Step 4: Simplify right side
    382,635.64x = 112,401,140,575.89
  5. Step 5: Solve for x
    x = 112,401,140,575.89/382,635.64
  6. Step 6: Final answer
    x = 293,755.02

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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.