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Finding the Fourth Proportional to 397,419.80, 548,434.15 and 216,127.87

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Solution

The fourth proportional to 397,419.80, 548,434.15 and 216,127.87 is: 298,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,419.80 : 548,434.15 = 216,127.87 : x
  2. Step 2: Convert to fraction form
    397,419.80/548,434.15 = 216,127.87/x
  3. Step 3: Cross multiply
    397,419.80x = 548,434.15 × 216,127.87
  4. Step 4: Simplify right side
    397,419.80x = 118,531,902,763.36
  5. Step 5: Solve for x
    x = 118,531,902,763.36/397,419.80
  6. Step 6: Final answer
    x = 298,253.65

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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.