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Finding the Fourth Proportional to 382,412.58, 527,729.81 and 212,643.06

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Solution

The fourth proportional to 382,412.58, 527,729.81 and 212,643.06 is: 293,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.58 : 527,729.81 = 212,643.06 : x
  2. Step 2: Convert to fraction form
    382,412.58/527,729.81 = 212,643.06/x
  3. Step 3: Cross multiply
    382,412.58x = 527,729.81 × 212,643.06
  4. Step 4: Simplify right side
    382,412.58x = 112,218,081,651.62
  5. Step 5: Solve for x
    x = 112,218,081,651.62/382,412.58
  6. Step 6: Final answer
    x = 293,447.67

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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.