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Finding the Fourth Proportional to 397,149, 548,065.63 and 218,301

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Solution

The fourth proportional to 397,149, 548,065.63 and 218,301 is: 301,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,149 : 548,065.63 = 218,301 : x
  2. Step 2: Convert to fraction form
    397,149/548,065.63 = 218,301/x
  3. Step 3: Cross multiply
    397,149x = 548,065.63 × 218,301
  4. Step 4: Simplify right side
    397,149x = 119,643,275,094.63
  5. Step 5: Solve for x
    x = 119,643,275,094.63/397,149
  6. Step 6: Final answer
    x = 301,255.39

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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.