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Finding the Fourth Proportional to 397,385, 548,393.89 and 216,098.90

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Solution

The fourth proportional to 397,385, 548,393.89 and 216,098.90 is: 298,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,385 : 548,393.89 = 216,098.90 : x
  2. Step 2: Convert to fraction form
    397,385/548,393.89 = 216,098.90/x
  3. Step 3: Cross multiply
    397,385x = 548,393.89 × 216,098.90
  4. Step 4: Simplify right side
    397,385x = 118,507,316,395.72
  5. Step 5: Solve for x
    x = 118,507,316,395.72/397,385
  6. Step 6: Final answer
    x = 298,217.89

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1.5x scale

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.