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Finding the Fourth Proportional to 384,871.75, 531,106.31 and 210,438.76

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Solution

The fourth proportional to 384,871.75, 531,106.31 and 210,438.76 is: 290,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,871.75 : 531,106.31 = 210,438.76 : x
  2. Step 2: Convert to fraction form
    384,871.75/531,106.31 = 210,438.76/x
  3. Step 3: Cross multiply
    384,871.75x = 531,106.31 × 210,438.76
  4. Step 4: Simplify right side
    384,871.75x = 111,765,351,450.71
  5. Step 5: Solve for x
    x = 111,765,351,450.71/384,871.75
  6. Step 6: Final answer
    x = 290,396.35

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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.