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Finding the Fourth Proportional to 257,801.67, 386,985.26 and 204,834.02

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Solution

The fourth proportional to 257,801.67, 386,985.26 and 204,834.02 is: 307,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.67 : 386,985.26 = 204,834.02 : x
  2. Step 2: Convert to fraction form
    257,801.67/386,985.26 = 204,834.02/x
  3. Step 3: Cross multiply
    257,801.67x = 386,985.26 × 204,834.02
  4. Step 4: Simplify right side
    257,801.67x = 79,267,745,063.70
  5. Step 5: Solve for x
    x = 79,267,745,063.70/257,801.67
  6. Step 6: Final answer
    x = 307,475.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.