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Finding the Fourth Proportional to 285,608.22, 428,409.15 and 117,090.90

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Solution

The fourth proportional to 285,608.22, 428,409.15 and 117,090.90 is: 175,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,608.22 : 428,409.15 = 117,090.90 : x
  2. Step 2: Convert to fraction form
    285,608.22/428,409.15 = 117,090.90/x
  3. Step 3: Cross multiply
    285,608.22x = 428,409.15 × 117,090.90
  4. Step 4: Simplify right side
    285,608.22x = 50,162,812,941.74
  5. Step 5: Solve for x
    x = 50,162,812,941.74/285,608.22
  6. Step 6: Final answer
    x = 175,635.05

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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.