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Finding the Fourth Proportional to 397,552, 548,621.76 and 218,704

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Solution

The fourth proportional to 397,552, 548,621.76 and 218,704 is: 301,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,552 : 548,621.76 = 218,704 : x
  2. Step 2: Convert to fraction form
    397,552/548,621.76 = 218,704/x
  3. Step 3: Cross multiply
    397,552x = 548,621.76 × 218,704
  4. Step 4: Simplify right side
    397,552x = 119,985,773,399.04
  5. Step 5: Solve for x
    x = 119,985,773,399.04/397,552
  6. Step 6: Final answer
    x = 301,811.52

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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.