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Finding the Fourth Proportional to 497,638.50, 686,720.75 and 279,840.97

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Solution

The fourth proportional to 497,638.50, 686,720.75 and 279,840.97 is: 386,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,638.50 : 686,720.75 = 279,840.97 : x
  2. Step 2: Convert to fraction form
    497,638.50/686,720.75 = 279,840.97/x
  3. Step 3: Cross multiply
    497,638.50x = 686,720.75 × 279,840.97
  4. Step 4: Simplify right side
    497,638.50x = 192,172,601,832.43
  5. Step 5: Solve for x
    x = 192,172,601,832.43/497,638.50
  6. Step 6: Final answer
    x = 386,169.08

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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.