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Finding the Fourth Proportional to 389,520, 537,537.64 and 210,672

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Solution

The fourth proportional to 389,520, 537,537.64 and 210,672 is: 290,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,520 : 537,537.64 = 210,672 : x
  2. Step 2: Convert to fraction form
    389,520/537,537.64 = 210,672/x
  3. Step 3: Cross multiply
    389,520x = 537,537.64 × 210,672
  4. Step 4: Simplify right side
    389,520x = 113,244,129,694.08
  5. Step 5: Solve for x
    x = 113,244,129,694.08/389,520
  6. Step 6: Final answer
    x = 290,727.38

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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.