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Finding the Fourth Proportional to 309,766.44, 427,627.89 and 207,754.68

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Solution

The fourth proportional to 309,766.44, 427,627.89 and 207,754.68 is: 286,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,766.44 : 427,627.89 = 207,754.68 : x
  2. Step 2: Convert to fraction form
    309,766.44/427,627.89 = 207,754.68/x
  3. Step 3: Cross multiply
    309,766.44x = 427,627.89 × 207,754.68
  4. Step 4: Simplify right side
    309,766.44x = 88,841,695,446.03
  5. Step 5: Solve for x
    x = 88,841,695,446.03/309,766.44
  6. Step 6: Final answer
    x = 286,802.20

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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.