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Finding the Fourth Proportional to 397,358.56, 548,351.82 and 216,070.60

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Solution

The fourth proportional to 397,358.56, 548,351.82 and 216,070.60 is: 298,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,358.56 : 548,351.82 = 216,070.60 : x
  2. Step 2: Convert to fraction form
    397,358.56/548,351.82 = 216,070.60/x
  3. Step 3: Cross multiply
    397,358.56x = 548,351.82 × 216,070.60
  4. Step 4: Simplify right side
    397,358.56x = 118,482,706,758.49
  5. Step 5: Solve for x
    x = 118,482,706,758.49/397,358.56
  6. Step 6: Final answer
    x = 298,175.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.