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Finding the Fourth Proportional to 483,213.60, 724,820.40 and 413,229.60

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Solution

The fourth proportional to 483,213.60, 724,820.40 and 413,229.60 is: 619,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,213.60 : 724,820.40 = 413,229.60 : x
  2. Step 2: Convert to fraction form
    483,213.60/724,820.40 = 413,229.60/x
  3. Step 3: Cross multiply
    483,213.60x = 724,820.40 × 413,229.60
  4. Step 4: Simplify right side
    483,213.60x = 299,517,243,963.84
  5. Step 5: Solve for x
    x = 299,517,243,963.84/483,213.60
  6. Step 6: Final answer
    x = 619,844.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.