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Finding the Fourth Proportional to 206,281.30, 309,422.16 and 56,522.80

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Solution

The fourth proportional to 206,281.30, 309,422.16 and 56,522.80 is: 84,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,281.30 : 309,422.16 = 56,522.80 : x
  2. Step 2: Convert to fraction form
    206,281.30/309,422.16 = 56,522.80/x
  3. Step 3: Cross multiply
    206,281.30x = 309,422.16 × 56,522.80
  4. Step 4: Simplify right side
    206,281.30x = 17,489,406,865.25
  5. Step 5: Solve for x
    x = 17,489,406,865.25/206,281.30
  6. Step 6: Final answer
    x = 84,784.26

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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.