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Finding the Fourth Proportional to 389,304, 537,240.24 and 210,456

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Solution

The fourth proportional to 389,304, 537,240.24 and 210,456 is: 290,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,304 : 537,240.24 = 210,456 : x
  2. Step 2: Convert to fraction form
    389,304/537,240.24 = 210,456/x
  3. Step 3: Cross multiply
    389,304x = 537,240.24 × 210,456
  4. Step 4: Simplify right side
    389,304x = 113,065,431,949.44
  5. Step 5: Solve for x
    x = 113,065,431,949.44/389,304
  6. Step 6: Final answer
    x = 290,429.67

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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.