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Finding the Fourth Proportional to 360,684, 497,766.96 and 201,708

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Solution

The fourth proportional to 360,684, 497,766.96 and 201,708 is: 278,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,684 : 497,766.96 = 201,708 : x
  2. Step 2: Convert to fraction form
    360,684/497,766.96 = 201,708/x
  3. Step 3: Cross multiply
    360,684x = 497,766.96 × 201,708
  4. Step 4: Simplify right side
    360,684x = 100,403,577,967.68
  5. Step 5: Solve for x
    x = 100,403,577,967.68/360,684
  6. Step 6: Final answer
    x = 278,369.92

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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.