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Finding the Fourth Proportional to 378,052.30, 567,078.45 and 326,730.70

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Solution

The fourth proportional to 378,052.30, 567,078.45 and 326,730.70 is: 490,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,052.30 : 567,078.45 = 326,730.70 : x
  2. Step 2: Convert to fraction form
    378,052.30/567,078.45 = 326,730.70/x
  3. Step 3: Cross multiply
    378,052.30x = 567,078.45 × 326,730.70
  4. Step 4: Simplify right side
    378,052.30x = 185,281,938,923.42
  5. Step 5: Solve for x
    x = 185,281,938,923.42/378,052.30
  6. Step 6: Final answer
    x = 490,096.05

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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.