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Finding the Fourth Proportional to 398,269.60, 597,404.40 and 328,285.60

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Solution

The fourth proportional to 398,269.60, 597,404.40 and 328,285.60 is: 492,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,269.60 : 597,404.40 = 328,285.60 : x
  2. Step 2: Convert to fraction form
    398,269.60/597,404.40 = 328,285.60/x
  3. Step 3: Cross multiply
    398,269.60x = 597,404.40 × 328,285.60
  4. Step 4: Simplify right side
    398,269.60x = 196,119,261,896.64
  5. Step 5: Solve for x
    x = 196,119,261,896.64/398,269.60
  6. Step 6: Final answer
    x = 492,428.40

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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.