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Finding the Fourth Proportional to 389,676, 537,752.88 and 210,828

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Solution

The fourth proportional to 389,676, 537,752.88 and 210,828 is: 290,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,676 : 537,752.88 = 210,828 : x
  2. Step 2: Convert to fraction form
    389,676/537,752.88 = 210,828/x
  3. Step 3: Cross multiply
    389,676x = 537,752.88 × 210,828
  4. Step 4: Simplify right side
    389,676x = 113,373,364,184.64
  5. Step 5: Solve for x
    x = 113,373,364,184.64/389,676
  6. Step 6: Final answer
    x = 290,942.64

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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.