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Finding the Fourth Proportional to 664,541.60, 996,812.40 and 412,599.20

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Solution

The fourth proportional to 664,541.60, 996,812.40 and 412,599.20 is: 618,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,541.60 : 996,812.40 = 412,599.20 : x
  2. Step 2: Convert to fraction form
    664,541.60/996,812.40 = 412,599.20/x
  3. Step 3: Cross multiply
    664,541.60x = 996,812.40 × 412,599.20
  4. Step 4: Simplify right side
    664,541.60x = 411,283,998,790.08
  5. Step 5: Solve for x
    x = 411,283,998,790.08/664,541.60
  6. Step 6: Final answer
    x = 618,898.80

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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.