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Finding the Fourth Proportional to 285,409.50, 428,097.84 and 85,725.48

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Solution

The fourth proportional to 285,409.50, 428,097.84 and 85,725.48 is: 128,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,409.50 : 428,097.84 = 85,725.48 : x
  2. Step 2: Convert to fraction form
    285,409.50/428,097.84 = 85,725.48/x
  3. Step 3: Cross multiply
    285,409.50x = 428,097.84 × 85,725.48
  4. Step 4: Simplify right side
    285,409.50x = 36,698,892,820.96
  5. Step 5: Solve for x
    x = 36,698,892,820.96/285,409.50
  6. Step 6: Final answer
    x = 128,583.29

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1.5x scale

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.