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Finding the Fourth Proportional to 206,564.60, 309,386.10 and 169,700.60

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Solution

The fourth proportional to 206,564.60, 309,386.10 and 169,700.60 is: 254,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564.60 : 309,386.10 = 169,700.60 : x
  2. Step 2: Convert to fraction form
    206,564.60/309,386.10 = 169,700.60/x
  3. Step 3: Cross multiply
    206,564.60x = 309,386.10 × 169,700.60
  4. Step 4: Simplify right side
    206,564.60x = 52,503,006,801.66
  5. Step 5: Solve for x
    x = 52,503,006,801.66/206,564.60
  6. Step 6: Final answer
    x = 254,172.34

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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.