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Finding the Fourth Proportional to 497,318.75, 686,000.72 and 303,638.03

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Solution

The fourth proportional to 497,318.75, 686,000.72 and 303,638.03 is: 418,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,318.75 : 686,000.72 = 303,638.03 : x
  2. Step 2: Convert to fraction form
    497,318.75/686,000.72 = 303,638.03/x
  3. Step 3: Cross multiply
    497,318.75x = 686,000.72 × 303,638.03
  4. Step 4: Simplify right side
    497,318.75x = 208,295,904,528.47
  5. Step 5: Solve for x
    x = 208,295,904,528.47/497,318.75
  6. Step 6: Final answer
    x = 418,837.83

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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.