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Finding the Fourth Proportional to 548,488.40, 822,732.60 and 398,411.60

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Solution

The fourth proportional to 548,488.40, 822,732.60 and 398,411.60 is: 597,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,488.40 : 822,732.60 = 398,411.60 : x
  2. Step 2: Convert to fraction form
    548,488.40/822,732.60 = 398,411.60/x
  3. Step 3: Cross multiply
    548,488.40x = 822,732.60 × 398,411.60
  4. Step 4: Simplify right side
    548,488.40x = 327,786,211,538.16
  5. Step 5: Solve for x
    x = 327,786,211,538.16/548,488.40
  6. Step 6: Final answer
    x = 597,617.40

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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.