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Finding the Fourth Proportional to 384,034.60, 576,051.90 and 345,327.40

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Solution

The fourth proportional to 384,034.60, 576,051.90 and 345,327.40 is: 517,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,034.60 : 576,051.90 = 345,327.40 : x
  2. Step 2: Convert to fraction form
    384,034.60/576,051.90 = 345,327.40/x
  3. Step 3: Cross multiply
    384,034.60x = 576,051.90 × 345,327.40
  4. Step 4: Simplify right side
    384,034.60x = 198,926,504,892.06
  5. Step 5: Solve for x
    x = 198,926,504,892.06/384,034.60
  6. Step 6: Final answer
    x = 517,991.10

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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.