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Finding the Fourth Proportional to 312,141.60, 468,431.10 and 200,094.30

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Solution

The fourth proportional to 312,141.60, 468,431.10 and 200,094.30 is: 300,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,141.60 : 468,431.10 = 200,094.30 : x
  2. Step 2: Convert to fraction form
    312,141.60/468,431.10 = 200,094.30/x
  3. Step 3: Cross multiply
    312,141.60x = 468,431.10 × 200,094.30
  4. Step 4: Simplify right side
    312,141.60x = 93,730,393,052.73
  5. Step 5: Solve for x
    x = 93,730,393,052.73/312,141.60
  6. Step 6: Final answer
    x = 300,281.64

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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.