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Finding the Fourth Proportional to 382,609.12, 527,686.16 and 339,620

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Solution

The fourth proportional to 382,609.12, 527,686.16 and 339,620 is: 468,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,609.12 : 527,686.16 = 339,620 : x
  2. Step 2: Convert to fraction form
    382,609.12/527,686.16 = 339,620/x
  3. Step 3: Cross multiply
    382,609.12x = 527,686.16 × 339,620
  4. Step 4: Simplify right side
    382,609.12x = 179,212,773,659.20
  5. Step 5: Solve for x
    x = 179,212,773,659.20/382,609.12
  6. Step 6: Final answer
    x = 468,396.50

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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.