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Finding the Fourth Proportional to 374,638, 517,000.14 and 204,872.08

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Solution

The fourth proportional to 374,638, 517,000.14 and 204,872.08 is: 282,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,638 : 517,000.14 = 204,872.08 : x
  2. Step 2: Convert to fraction form
    374,638/517,000.14 = 204,872.08/x
  3. Step 3: Cross multiply
    374,638x = 517,000.14 × 204,872.08
  4. Step 4: Simplify right side
    374,638x = 105,918,894,042.09
  5. Step 5: Solve for x
    x = 105,918,894,042.09/374,638
  6. Step 6: Final answer
    x = 282,723.31

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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.