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Finding the Fourth Proportional to 397,711.58, 548,853.50 and 216,435.20

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Solution

The fourth proportional to 397,711.58, 548,853.50 and 216,435.20 is: 298,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.58 : 548,853.50 = 216,435.20 : x
  2. Step 2: Convert to fraction form
    397,711.58/548,853.50 = 216,435.20/x
  3. Step 3: Cross multiply
    397,711.58x = 548,853.50 × 216,435.20
  4. Step 4: Simplify right side
    397,711.58x = 118,791,214,840.02
  5. Step 5: Solve for x
    x = 118,791,214,840.02/397,711.58
  6. Step 6: Final answer
    x = 298,686.84

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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.